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Simplifying -5w + 2(w + 7) = -10 Reorder the terms: -5w + 2(7 + w) = -10 -5w + (7 * 2 + w * 2) = -10 -5w + (14 + 2w) = -10 Reorder the terms: 14 + -5w + 2w = -10 Combine like terms: -5w + 2w = -3w 14 + -3w = -10 Solving 14 + -3w = -10 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -3w = -10 + -14 Combine like terms: 14 + -14 = 0 0 + -3w = -10 + -14 -3w = -10 + -14 Combine like terms: -10 + -14 = -24 -3w = -24 Divide each side by '-3'. w = 8 Simplifying w = 8
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