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Simplifying 4(W + -9) = 3(4 + W) Reorder the terms: 4(-9 + W) = 3(4 + W) (-9 * 4 + W * 4) = 3(4 + W) (-36 + 4W) = 3(4 + W) -36 + 4W = (4 * 3 + W * 3) -36 + 4W = (12 + 3W) Solving -36 + 4W = 12 + 3W Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '-3W' to each side of the equation. -36 + 4W + -3W = 12 + 3W + -3W Combine like terms: 4W + -3W = 1W -36 + 1W = 12 + 3W + -3W Combine like terms: 3W + -3W = 0 -36 + 1W = 12 + 0 -36 + 1W = 12 Add '36' to each side of the equation. -36 + 36 + 1W = 12 + 36 Combine like terms: -36 + 36 = 0 0 + 1W = 12 + 36 1W = 12 + 36 Combine like terms: 12 + 36 = 48 1W = 48 Divide each side by '1'. W = 48 Simplifying W = 48
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