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Simplifying 7(10 + -2w) + -7w = 5(15 + -4w) (10 * 7 + -2w * 7) + -7w = 5(15 + -4w) (70 + -14w) + -7w = 5(15 + -4w) Combine like terms: -14w + -7w = -21w 70 + -21w = 5(15 + -4w) 70 + -21w = (15 * 5 + -4w * 5) 70 + -21w = (75 + -20w) Solving 70 + -21w = 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 + -21w + 20w = 75 + -20w + 20w Combine like terms: -21w + 20w = -1w 70 + -1w = 75 + -20w + 20w Combine like terms: -20w + 20w = 0 70 + -1w = 75 + 0 70 + -1w = 75 Add '-70' to each side of the equation. 70 + -70 + -1w = 75 + -70 Combine like terms: 70 + -70 = 0 0 + -1w = 75 + -70 -1w = 75 + -70 Combine like terms: 75 + -70 = 5 -1w = 5 Divide each side by '-1'. w = -5 Simplifying w = -5
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