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Simplifying 4(w + -9) = 3(w + -4) Reorder the terms: 4(-9 + w) = 3(w + -4) (-9 * 4 + w * 4) = 3(w + -4) (-36 + 4w) = 3(w + -4) Reorder the terms: -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 = 24 1w = 24 Divide each side by '1'. w = 24 Simplifying w = 24
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