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Simplifying 4(w + 2) + -1w = 2(w + -1) + 9 Reorder the terms: 4(2 + w) + -1w = 2(w + -1) + 9 (2 * 4 + w * 4) + -1w = 2(w + -1) + 9 (8 + 4w) + -1w = 2(w + -1) + 9 Combine like terms: 4w + -1w = 3w 8 + 3w = 2(w + -1) + 9 Reorder the terms: 8 + 3w = 2(-1 + w) + 9 8 + 3w = (-1 * 2 + w * 2) + 9 8 + 3w = (-2 + 2w) + 9 Reorder the terms: 8 + 3w = -2 + 9 + 2w Combine like terms: -2 + 9 = 7 8 + 3w = 7 + 2w Solving 8 + 3w = 7 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 8 + 3w + -2w = 7 + 2w + -2w Combine like terms: 3w + -2w = 1w 8 + 1w = 7 + 2w + -2w Combine like terms: 2w + -2w = 0 8 + 1w = 7 + 0 8 + 1w = 7 Add '-8' to each side of the equation. 8 + -8 + 1w = 7 + -8 Combine like terms: 8 + -8 = 0 0 + 1w = 7 + -8 1w = 7 + -8 Combine like terms: 7 + -8 = -1 1w = -1 Divide each side by '1'. w = -1 Simplifying w = -1
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