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Simplifying 3(4 + -1w) = 5(5(w + 2)) (4 * 3 + -1w * 3) = 5(5(w + 2)) (12 + -3w) = 5(5(w + 2)) Reorder the terms: 12 + -3w = 5(5(2 + w)) 12 + -3w = 5((2 * 5 + w * 5)) 12 + -3w = 5((10 + 5w)) 12 + -3w = (10 * 5 + 5w * 5) 12 + -3w = (50 + 25w) Solving 12 + -3w = 50 + 25w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-25w' to each side of the equation. 12 + -3w + -25w = 50 + 25w + -25w Combine like terms: -3w + -25w = -28w 12 + -28w = 50 + 25w + -25w Combine like terms: 25w + -25w = 0 12 + -28w = 50 + 0 12 + -28w = 50 Add '-12' to each side of the equation. 12 + -12 + -28w = 50 + -12 Combine like terms: 12 + -12 = 0 0 + -28w = 50 + -12 -28w = 50 + -12 Combine like terms: 50 + -12 = 38 -28w = 38 Divide each side by '-28'. w = -1.357142857 Simplifying w = -1.357142857
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