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