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Simplifying 2(w + 4) = 5w + -7 Reorder the terms: 2(4 + w) = 5w + -7 (4 * 2 + w * 2) = 5w + -7 (8 + 2w) = 5w + -7 Reorder the terms: 8 + 2w = -7 + 5w Solving 8 + 2w = -7 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 8 + 2w + -5w = -7 + 5w + -5w Combine like terms: 2w + -5w = -3w 8 + -3w = -7 + 5w + -5w Combine like terms: 5w + -5w = 0 8 + -3w = -7 + 0 8 + -3w = -7 Add '-8' to each side of the equation. 8 + -8 + -3w = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -3w = -7 + -8 -3w = -7 + -8 Combine like terms: -7 + -8 = -15 -3w = -15 Divide each side by '-3'. w = 5 Simplifying w = 5
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