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Simplifying 7 + -1(w + -2) = 5(3 + -1w) Reorder the terms: 7 + -1(-2 + w) = 5(3 + -1w) 7 + (-2 * -1 + w * -1) = 5(3 + -1w) 7 + (2 + -1w) = 5(3 + -1w) Combine like terms: 7 + 2 = 9 9 + -1w = 5(3 + -1w) 9 + -1w = (3 * 5 + -1w * 5) 9 + -1w = (15 + -5w) Solving 9 + -1w = 15 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. 9 + -1w + 5w = 15 + -5w + 5w Combine like terms: -1w + 5w = 4w 9 + 4w = 15 + -5w + 5w Combine like terms: -5w + 5w = 0 9 + 4w = 15 + 0 9 + 4w = 15 Add '-9' to each side of the equation. 9 + -9 + 4w = 15 + -9 Combine like terms: 9 + -9 = 0 0 + 4w = 15 + -9 4w = 15 + -9 Combine like terms: 15 + -9 = 6 4w = 6 Divide each side by '4'. w = 1.5 Simplifying w = 1.5
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