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Simplifying 7(10 + -3w + -1w) = 5(15 + -4w) Combine like terms: -3w + -1w = -4w 7(10 + -4w) = 5(15 + -4w) (10 * 7 + -4w * 7) = 5(15 + -4w) (70 + -28w) = 5(15 + -4w) 70 + -28w = (15 * 5 + -4w * 5) 70 + -28w = (75 + -20w) Solving 70 + -28w = 75 + -20w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '20w' to each side of the equation. 70 + -28w + 20w = 75 + -20w + 20w Combine like terms: -28w + 20w = -8w 70 + -8w = 75 + -20w + 20w Combine like terms: -20w + 20w = 0 70 + -8w = 75 + 0 70 + -8w = 75 Add '-70' to each side of the equation. 70 + -70 + -8w = 75 + -70 Combine like terms: 70 + -70 = 0 0 + -8w = 75 + -70 -8w = 75 + -70 Combine like terms: 75 + -70 = 5 -8w = 5 Divide each side by '-8'. w = -0.625 Simplifying w = -0.625
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