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Simplifying 7(10 + -3w) = 5(1 + -15 + -4w) (10 * 7 + -3w * 7) = 5(1 + -15 + -4w) (70 + -21w) = 5(1 + -15 + -4w) Combine like terms: 1 + -15 = -14 70 + -21w = 5(-14 + -4w) 70 + -21w = (-14 * 5 + -4w * 5) 70 + -21w = (-70 + -20w) Solving 70 + -21w = -70 + -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 + -21w + 20w = -70 + -20w + 20w Combine like terms: -21w + 20w = -1w 70 + -1w = -70 + -20w + 20w Combine like terms: -20w + 20w = 0 70 + -1w = -70 + 0 70 + -1w = -70 Add '-70' to each side of the equation. 70 + -70 + -1w = -70 + -70 Combine like terms: 70 + -70 = 0 0 + -1w = -70 + -70 -1w = -70 + -70 Combine like terms: -70 + -70 = -140 -1w = -140 Divide each side by '-1'. w = 140 Simplifying w = 140
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