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Simplifying -3(-5w + 3) + -6w = 3(w + -6) + -7 Reorder the terms: -3(3 + -5w) + -6w = 3(w + -6) + -7 (3 * -3 + -5w * -3) + -6w = 3(w + -6) + -7 (-9 + 15w) + -6w = 3(w + -6) + -7 Combine like terms: 15w + -6w = 9w -9 + 9w = 3(w + -6) + -7 Reorder the terms: -9 + 9w = 3(-6 + w) + -7 -9 + 9w = (-6 * 3 + w * 3) + -7 -9 + 9w = (-18 + 3w) + -7 Reorder the terms: -9 + 9w = -18 + -7 + 3w Combine like terms: -18 + -7 = -25 -9 + 9w = -25 + 3w Solving -9 + 9w = -25 + 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. -9 + 9w + -3w = -25 + 3w + -3w Combine like terms: 9w + -3w = 6w -9 + 6w = -25 + 3w + -3w Combine like terms: 3w + -3w = 0 -9 + 6w = -25 + 0 -9 + 6w = -25 Add '9' to each side of the equation. -9 + 9 + 6w = -25 + 9 Combine like terms: -9 + 9 = 0 0 + 6w = -25 + 9 6w = -25 + 9 Combine like terms: -25 + 9 = -16 6w = -16 Divide each side by '6'. w = -2.666666667 Simplifying w = -2.666666667
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