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Simplifying 2(w + 1) = 7w + 12 Reorder the terms: 2(1 + w) = 7w + 12 (1 * 2 + w * 2) = 7w + 12 (2 + 2w) = 7w + 12 Reorder the terms: 2 + 2w = 12 + 7w Solving 2 + 2w = 12 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 2 + 2w + -7w = 12 + 7w + -7w Combine like terms: 2w + -7w = -5w 2 + -5w = 12 + 7w + -7w Combine like terms: 7w + -7w = 0 2 + -5w = 12 + 0 2 + -5w = 12 Add '-2' to each side of the equation. 2 + -2 + -5w = 12 + -2 Combine like terms: 2 + -2 = 0 0 + -5w = 12 + -2 -5w = 12 + -2 Combine like terms: 12 + -2 = 10 -5w = 10 Divide each side by '-5'. w = -2 Simplifying w = -2
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