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Simplifying 2(w + 1) + 7 = 3(w + -2) + 2w Reorder the terms: 2(1 + w) + 7 = 3(w + -2) + 2w (1 * 2 + w * 2) + 7 = 3(w + -2) + 2w (2 + 2w) + 7 = 3(w + -2) + 2w Reorder the terms: 2 + 7 + 2w = 3(w + -2) + 2w Combine like terms: 2 + 7 = 9 9 + 2w = 3(w + -2) + 2w Reorder the terms: 9 + 2w = 3(-2 + w) + 2w 9 + 2w = (-2 * 3 + w * 3) + 2w 9 + 2w = (-6 + 3w) + 2w Combine like terms: 3w + 2w = 5w 9 + 2w = -6 + 5w Solving 9 + 2w = -6 + 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 + 2w + -5w = -6 + 5w + -5w Combine like terms: 2w + -5w = -3w 9 + -3w = -6 + 5w + -5w Combine like terms: 5w + -5w = 0 9 + -3w = -6 + 0 9 + -3w = -6 Add '-9' to each side of the equation. 9 + -9 + -3w = -6 + -9 Combine like terms: 9 + -9 = 0 0 + -3w = -6 + -9 -3w = -6 + -9 Combine like terms: -6 + -9 = -15 -3w = -15 Divide each side by '-3'. w = 5 Simplifying w = 5
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