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Simplifying -8(w + -4) + 9w = 2(w + 9) Reorder the terms: -8(-4 + w) + 9w = 2(w + 9) (-4 * -8 + w * -8) + 9w = 2(w + 9) (32 + -8w) + 9w = 2(w + 9) Combine like terms: -8w + 9w = 1w 32 + 1w = 2(w + 9) Reorder the terms: 32 + 1w = 2(9 + w) 32 + 1w = (9 * 2 + w * 2) 32 + 1w = (18 + 2w) Solving 32 + 1w = 18 + 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. 32 + 1w + -2w = 18 + 2w + -2w Combine like terms: 1w + -2w = -1w 32 + -1w = 18 + 2w + -2w Combine like terms: 2w + -2w = 0 32 + -1w = 18 + 0 32 + -1w = 18 Add '-32' to each side of the equation. 32 + -32 + -1w = 18 + -32 Combine like terms: 32 + -32 = 0 0 + -1w = 18 + -32 -1w = 18 + -32 Combine like terms: 18 + -32 = -14 -1w = -14 Divide each side by '-1'. w = 14 Simplifying w = 14
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