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Simplifying 7 + -1(2w + 5) = -4 + 3(w + 5) Reorder the terms: 7 + -1(5 + 2w) = -4 + 3(w + 5) 7 + (5 * -1 + 2w * -1) = -4 + 3(w + 5) 7 + (-5 + -2w) = -4 + 3(w + 5) Combine like terms: 7 + -5 = 2 2 + -2w = -4 + 3(w + 5) Reorder the terms: 2 + -2w = -4 + 3(5 + w) 2 + -2w = -4 + (5 * 3 + w * 3) 2 + -2w = -4 + (15 + 3w) Combine like terms: -4 + 15 = 11 2 + -2w = 11 + 3w Solving 2 + -2w = 11 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 2 + -2w + -3w = 11 + 3w + -3w Combine like terms: -2w + -3w = -5w 2 + -5w = 11 + 3w + -3w Combine like terms: 3w + -3w = 0 2 + -5w = 11 + 0 2 + -5w = 11 Add '-2' to each side of the equation. 2 + -2 + -5w = 11 + -2 Combine like terms: 2 + -2 = 0 0 + -5w = 11 + -2 -5w = 11 + -2 Combine like terms: 11 + -2 = 9 -5w = 9 Divide each side by '-5'. w = -1.8 Simplifying w = -1.8
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