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Simplifying 32 = 28 + -8(-5 + -1w) 32 = 28 + (-5 * -8 + -1w * -8) 32 = 28 + (40 + 8w) Combine like terms: 28 + 40 = 68 32 = 68 + 8w Solving 32 = 68 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 32 + -8w = 68 + 8w + -8w Combine like terms: 8w + -8w = 0 32 + -8w = 68 + 0 32 + -8w = 68 Add '-32' to each side of the equation. 32 + -32 + -8w = 68 + -32 Combine like terms: 32 + -32 = 0 0 + -8w = 68 + -32 -8w = 68 + -32 Combine like terms: 68 + -32 = 36 -8w = 36 Divide each side by '-8'. w = -4.5 Simplifying w = -4.5
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