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Simplifying -17 = 4(w + -8) + -7w Reorder the terms: -17 = 4(-8 + w) + -7w -17 = (-8 * 4 + w * 4) + -7w -17 = (-32 + 4w) + -7w Combine like terms: 4w + -7w = -3w -17 = -32 + -3w Solving -17 = -32 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. -17 + 3w = -32 + -3w + 3w Combine like terms: -3w + 3w = 0 -17 + 3w = -32 + 0 -17 + 3w = -32 Add '17' to each side of the equation. -17 + 17 + 3w = -32 + 17 Combine like terms: -17 + 17 = 0 0 + 3w = -32 + 17 3w = -32 + 17 Combine like terms: -32 + 17 = -15 3w = -15 Divide each side by '3'. w = -5 Simplifying w = -5
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