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Simplifying 10 = -7w + 5(w + 6) Reorder the terms: 10 = -7w + 5(6 + w) 10 = -7w + (6 * 5 + w * 5) 10 = -7w + (30 + 5w) Reorder the terms: 10 = 30 + -7w + 5w Combine like terms: -7w + 5w = -2w 10 = 30 + -2w Solving 10 = 30 + -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 = 30 + -2w + 2w Combine like terms: -2w + 2w = 0 10 + 2w = 30 + 0 10 + 2w = 30 Add '-10' to each side of the equation. 10 + -10 + 2w = 30 + -10 Combine like terms: 10 + -10 = 0 0 + 2w = 30 + -10 2w = 30 + -10 Combine like terms: 30 + -10 = 20 2w = 20 Divide each side by '2'. w = 10 Simplifying w = 10
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