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Simplifying 3(10 + -1w) + 9 = -9(w + -4) + -9 (10 * 3 + -1w * 3) + 9 = -9(w + -4) + -9 (30 + -3w) + 9 = -9(w + -4) + -9 Reorder the terms: 30 + 9 + -3w = -9(w + -4) + -9 Combine like terms: 30 + 9 = 39 39 + -3w = -9(w + -4) + -9 Reorder the terms: 39 + -3w = -9(-4 + w) + -9 39 + -3w = (-4 * -9 + w * -9) + -9 39 + -3w = (36 + -9w) + -9 Reorder the terms: 39 + -3w = 36 + -9 + -9w Combine like terms: 36 + -9 = 27 39 + -3w = 27 + -9w Solving 39 + -3w = 27 + -9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9w' to each side of the equation. 39 + -3w + 9w = 27 + -9w + 9w Combine like terms: -3w + 9w = 6w 39 + 6w = 27 + -9w + 9w Combine like terms: -9w + 9w = 0 39 + 6w = 27 + 0 39 + 6w = 27 Add '-39' to each side of the equation. 39 + -39 + 6w = 27 + -39 Combine like terms: 39 + -39 = 0 0 + 6w = 27 + -39 6w = 27 + -39 Combine like terms: 27 + -39 = -12 6w = -12 Divide each side by '6'. w = -2 Simplifying w = -2
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