Short answer: mix complementary colours (red + green, blue + orange, yellow + purple), or all three primaries together. Every brown is really a dulled, darkened orange — which is why the recipes below all smuggle orange in through one door or another. The interesting part is steering the brown you get.
Red + green — the painter's favourite. Cadmium red + viridian gives a rich, adjustable brown: more red = warm chestnut, more green = cool olive-brown. Alizarin + sap green makes beautiful transparent shadow browns.
Blue + orange — ultramarine + burnt sienna is the most useful two-pigment mix in all of painting. More sienna = warm earth; more blue = a cool grey-brown that works for almost any shadow. Many professionals use this pair instead of black entirely.
All three primaries — red + yellow + blue in uneven amounts. Hard to control but teaches you the most: the primary you add most of decides the brown's character.
Chocolate: cadmium red + a little ultramarine + a touch of yellow ochre. Tan/beige: yellow ochre + white + a whisper of burnt sienna. Coffee: burnt umber straight, or ultramarine + burnt sienna leaning sienna. Reddish wood: burnt sienna + a little alizarin. Cool taupe: ultramarine + burnt sienna + white, leaning blue.
A brown that turned grey means your complements were too balanced — push one side. A brown that turned mud-green means your blue or green was stronger than you thought (phthalos especially overpower everything — add them with a toothpick, not a brush). And a brown that looks dead usually just needs a warmer, lighter neighbour on the canvas: browns are defined by contrast more than by their own mix.
"Brown" covers a thousand colours, and the one in your photo is specific. Rather than guessing, load your reference into Squint Lab and tap the area you're trying to match. It isolates the exact colour and suggests a pigment recipe from the paints you actually own — plus whether your mix needs to go lighter, darker, warmer or cooler. It's free and runs in your browser.
Find the recipe for any colour — free in Squint Lab