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Simplifying 10 = 5(w + -2) + -7w Reorder the terms: 10 = 5(-2 + w) + -7w 10 = (-2 * 5 + w * 5) + -7w 10 = (-10 + 5w) + -7w Combine like terms: 5w + -7w = -2w 10 = -10 + -2w Solving 10 = -10 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 10 + 2w = -10 + -2w + 2w Combine like terms: -2w + 2w = 0 10 + 2w = -10 + 0 10 + 2w = -10 Add '-10' to each side of the equation. 10 + -10 + 2w = -10 + -10 Combine like terms: 10 + -10 = 0 0 + 2w = -10 + -10 2w = -10 + -10 Combine like terms: -10 + -10 = -20 2w = -20 Divide each side by '2'. w = -10 Simplifying w = -10
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