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Simplifying -2(-9w + 4) + -3w = 3(w + -5) + -7 Reorder the terms: -2(4 + -9w) + -3w = 3(w + -5) + -7 (4 * -2 + -9w * -2) + -3w = 3(w + -5) + -7 (-8 + 18w) + -3w = 3(w + -5) + -7 Combine like terms: 18w + -3w = 15w -8 + 15w = 3(w + -5) + -7 Reorder the terms: -8 + 15w = 3(-5 + w) + -7 -8 + 15w = (-5 * 3 + w * 3) + -7 -8 + 15w = (-15 + 3w) + -7 Reorder the terms: -8 + 15w = -15 + -7 + 3w Combine like terms: -15 + -7 = -22 -8 + 15w = -22 + 3w Solving -8 + 15w = -22 + 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. -8 + 15w + -3w = -22 + 3w + -3w Combine like terms: 15w + -3w = 12w -8 + 12w = -22 + 3w + -3w Combine like terms: 3w + -3w = 0 -8 + 12w = -22 + 0 -8 + 12w = -22 Add '8' to each side of the equation. -8 + 8 + 12w = -22 + 8 Combine like terms: -8 + 8 = 0 0 + 12w = -22 + 8 12w = -22 + 8 Combine like terms: -22 + 8 = -14 12w = -14 Divide each side by '12'. w = -1.166666667 Simplifying w = -1.166666667
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