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Simplifying 17 = 8(w + -4) Reorder the terms: 17 = 8(-4 + w) 17 = (-4 * 8 + w * 8) 17 = (-32 + 8w) Solving 17 = -32 + 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. 17 + -8w = -32 + 8w + -8w Combine like terms: 8w + -8w = 0 17 + -8w = -32 + 0 17 + -8w = -32 Add '-17' to each side of the equation. 17 + -17 + -8w = -32 + -17 Combine like terms: 17 + -17 = 0 0 + -8w = -32 + -17 -8w = -32 + -17 Combine like terms: -32 + -17 = -49 -8w = -49 Divide each side by '-8'. w = 6.125 Simplifying w = 6.125
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