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Simplifying 7(10w + -3w) = 5(15 + -4w) Combine like terms: 10w + -3w = 7w 7(7w) = 5(15 + -4w) Remove parenthesis around (7w) 7 * 7w = 5(15 + -4w) Multiply 7 * 7 49w = 5(15 + -4w) 49w = (15 * 5 + -4w * 5) 49w = (75 + -20w) Solving 49w = 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. 49w + 20w = 75 + -20w + 20w Combine like terms: 49w + 20w = 69w 69w = 75 + -20w + 20w Combine like terms: -20w + 20w = 0 69w = 75 + 0 69w = 75 Divide each side by '69'. w = 1.086956522 Simplifying w = 1.086956522
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