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Simplifying 6(w + -6) = 3(3w + 5) Reorder the terms: 6(-6 + w) = 3(3w + 5) (-6 * 6 + w * 6) = 3(3w + 5) (-36 + 6w) = 3(3w + 5) Reorder the terms: -36 + 6w = 3(5 + 3w) -36 + 6w = (5 * 3 + 3w * 3) -36 + 6w = (15 + 9w) Solving -36 + 6w = 15 + 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. -36 + 6w + -9w = 15 + 9w + -9w Combine like terms: 6w + -9w = -3w -36 + -3w = 15 + 9w + -9w Combine like terms: 9w + -9w = 0 -36 + -3w = 15 + 0 -36 + -3w = 15 Add '36' to each side of the equation. -36 + 36 + -3w = 15 + 36 Combine like terms: -36 + 36 = 0 0 + -3w = 15 + 36 -3w = 15 + 36 Combine like terms: 15 + 36 = 51 -3w = 51 Divide each side by '-3'. w = -17 Simplifying w = -17
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