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Simplifying -5w + 2(w + 5) = -14 Reorder the terms: -5w + 2(5 + w) = -14 -5w + (5 * 2 + w * 2) = -14 -5w + (10 + 2w) = -14 Reorder the terms: 10 + -5w + 2w = -14 Combine like terms: -5w + 2w = -3w 10 + -3w = -14 Solving 10 + -3w = -14 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3w = -14 + -10 Combine like terms: 10 + -10 = 0 0 + -3w = -14 + -10 -3w = -14 + -10 Combine like terms: -14 + -10 = -24 -3w = -24 Divide each side by '-3'. w = 8 Simplifying w = 8
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