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Simplifying 5(w + -1) = -7w + -17 Reorder the terms: 5(-1 + w) = -7w + -17 (-1 * 5 + w * 5) = -7w + -17 (-5 + 5w) = -7w + -17 Reorder the terms: -5 + 5w = -17 + -7w Solving -5 + 5w = -17 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. -5 + 5w + 7w = -17 + -7w + 7w Combine like terms: 5w + 7w = 12w -5 + 12w = -17 + -7w + 7w Combine like terms: -7w + 7w = 0 -5 + 12w = -17 + 0 -5 + 12w = -17 Add '5' to each side of the equation. -5 + 5 + 12w = -17 + 5 Combine like terms: -5 + 5 = 0 0 + 12w = -17 + 5 12w = -17 + 5 Combine like terms: -17 + 5 = -12 12w = -12 Divide each side by '12'. w = -1 Simplifying w = -1
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