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Simplifying -2(w + -5) = -7w + -15 Reorder the terms: -2(-5 + w) = -7w + -15 (-5 * -2 + w * -2) = -7w + -15 (10 + -2w) = -7w + -15 Reorder the terms: 10 + -2w = -15 + -7w Solving 10 + -2w = -15 + -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. 10 + -2w + 7w = -15 + -7w + 7w Combine like terms: -2w + 7w = 5w 10 + 5w = -15 + -7w + 7w Combine like terms: -7w + 7w = 0 10 + 5w = -15 + 0 10 + 5w = -15 Add '-10' to each side of the equation. 10 + -10 + 5w = -15 + -10 Combine like terms: 10 + -10 = 0 0 + 5w = -15 + -10 5w = -15 + -10 Combine like terms: -15 + -10 = -25 5w = -25 Divide each side by '5'. w = -5 Simplifying w = -5
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