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Simplifying -2(-9w + 5) + -3w = 5(w + -4) + -2 Reorder the terms: -2(5 + -9w) + -3w = 5(w + -4) + -2 (5 * -2 + -9w * -2) + -3w = 5(w + -4) + -2 (-10 + 18w) + -3w = 5(w + -4) + -2 Combine like terms: 18w + -3w = 15w -10 + 15w = 5(w + -4) + -2 Reorder the terms: -10 + 15w = 5(-4 + w) + -2 -10 + 15w = (-4 * 5 + w * 5) + -2 -10 + 15w = (-20 + 5w) + -2 Reorder the terms: -10 + 15w = -20 + -2 + 5w Combine like terms: -20 + -2 = -22 -10 + 15w = -22 + 5w Solving -10 + 15w = -22 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -10 + 15w + -5w = -22 + 5w + -5w Combine like terms: 15w + -5w = 10w -10 + 10w = -22 + 5w + -5w Combine like terms: 5w + -5w = 0 -10 + 10w = -22 + 0 -10 + 10w = -22 Add '10' to each side of the equation. -10 + 10 + 10w = -22 + 10 Combine like terms: -10 + 10 = 0 0 + 10w = -22 + 10 10w = -22 + 10 Combine like terms: -22 + 10 = -12 10w = -12 Divide each side by '10'. w = -1.2 Simplifying w = -1.2
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