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Simplifying -8(w + -2) + 9w = 32 + -5 Reorder the terms: -8(-2 + w) + 9w = 32 + -5 (-2 * -8 + w * -8) + 9w = 32 + -5 (16 + -8w) + 9w = 32 + -5 Combine like terms: -8w + 9w = 1w 16 + 1w = 32 + -5 Combine like terms: 32 + -5 = 27 16 + 1w = 27 Solving 16 + 1w = 27 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 1w = 27 + -16 Combine like terms: 16 + -16 = 0 0 + 1w = 27 + -16 1w = 27 + -16 Combine like terms: 27 + -16 = 11 1w = 11 Divide each side by '1'. w = 11 Simplifying w = 11
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