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Simplifying -2(w + 2) + 7 = 3(w + 6) Reorder the terms: -2(2 + w) + 7 = 3(w + 6) (2 * -2 + w * -2) + 7 = 3(w + 6) (-4 + -2w) + 7 = 3(w + 6) Reorder the terms: -4 + 7 + -2w = 3(w + 6) Combine like terms: -4 + 7 = 3 3 + -2w = 3(w + 6) Reorder the terms: 3 + -2w = 3(6 + w) 3 + -2w = (6 * 3 + w * 3) 3 + -2w = (18 + 3w) Solving 3 + -2w = 18 + 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. 3 + -2w + -3w = 18 + 3w + -3w Combine like terms: -2w + -3w = -5w 3 + -5w = 18 + 3w + -3w Combine like terms: 3w + -3w = 0 3 + -5w = 18 + 0 3 + -5w = 18 Add '-3' to each side of the equation. 3 + -3 + -5w = 18 + -3 Combine like terms: 3 + -3 = 0 0 + -5w = 18 + -3 -5w = 18 + -3 Combine like terms: 18 + -3 = 15 -5w = 15 Divide each side by '-5'. w = -3 Simplifying w = -3
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