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Simplifying 2(w + 2) + -1w = 3(w + -1) + 9 Reorder the terms: 2(2 + w) + -1w = 3(w + -1) + 9 (2 * 2 + w * 2) + -1w = 3(w + -1) + 9 (4 + 2w) + -1w = 3(w + -1) + 9 Combine like terms: 2w + -1w = 1w 4 + 1w = 3(w + -1) + 9 Reorder the terms: 4 + 1w = 3(-1 + w) + 9 4 + 1w = (-1 * 3 + w * 3) + 9 4 + 1w = (-3 + 3w) + 9 Reorder the terms: 4 + 1w = -3 + 9 + 3w Combine like terms: -3 + 9 = 6 4 + 1w = 6 + 3w Solving 4 + 1w = 6 + 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. 4 + 1w + -3w = 6 + 3w + -3w Combine like terms: 1w + -3w = -2w 4 + -2w = 6 + 3w + -3w Combine like terms: 3w + -3w = 0 4 + -2w = 6 + 0 4 + -2w = 6 Add '-4' to each side of the equation. 4 + -4 + -2w = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -2w = 6 + -4 -2w = 6 + -4 Combine like terms: 6 + -4 = 2 -2w = 2 Divide each side by '-2'. w = -1 Simplifying w = -1
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