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Simplifying 2(w + 4) = 7w + -12 Reorder the terms: 2(4 + w) = 7w + -12 (4 * 2 + w * 2) = 7w + -12 (8 + 2w) = 7w + -12 Reorder the terms: 8 + 2w = -12 + 7w Solving 8 + 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. 8 + 2w + -7w = -12 + 7w + -7w Combine like terms: 2w + -7w = -5w 8 + -5w = -12 + 7w + -7w Combine like terms: 7w + -7w = 0 8 + -5w = -12 + 0 8 + -5w = -12 Add '-8' to each side of the equation. 8 + -8 + -5w = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -5w = -12 + -8 -5w = -12 + -8 Combine like terms: -12 + -8 = -20 -5w = -20 Divide each side by '-5'. w = 4 Simplifying w = 4
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