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Simplifying 12 = -7w + 5(w + 2) Reorder the terms: 12 = -7w + 5(2 + w) 12 = -7w + (2 * 5 + w * 5) 12 = -7w + (10 + 5w) Reorder the terms: 12 = 10 + -7w + 5w Combine like terms: -7w + 5w = -2w 12 = 10 + -2w Solving 12 = 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. 12 + 2w = 10 + -2w + 2w Combine like terms: -2w + 2w = 0 12 + 2w = 10 + 0 12 + 2w = 10 Add '-12' to each side of the equation. 12 + -12 + 2w = 10 + -12 Combine like terms: 12 + -12 = 0 0 + 2w = 10 + -12 2w = 10 + -12 Combine like terms: 10 + -12 = -2 2w = -2 Divide each side by '2'. w = -1 Simplifying w = -1
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