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Simplifying 5(w + -1) = -5w + 15 Reorder the terms: 5(-1 + w) = -5w + 15 (-1 * 5 + w * 5) = -5w + 15 (-5 + 5w) = -5w + 15 Reorder the terms: -5 + 5w = 15 + -5w Solving -5 + 5w = 15 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. -5 + 5w + 5w = 15 + -5w + 5w Combine like terms: 5w + 5w = 10w -5 + 10w = 15 + -5w + 5w Combine like terms: -5w + 5w = 0 -5 + 10w = 15 + 0 -5 + 10w = 15 Add '5' to each side of the equation. -5 + 5 + 10w = 15 + 5 Combine like terms: -5 + 5 = 0 0 + 10w = 15 + 5 10w = 15 + 5 Combine like terms: 15 + 5 = 20 10w = 20 Divide each side by '10'. w = 2 Simplifying w = 2
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