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Simplifying 2(w + 4) = 5(w + 1) Reorder the terms: 2(4 + w) = 5(w + 1) (4 * 2 + w * 2) = 5(w + 1) (8 + 2w) = 5(w + 1) Reorder the terms: 8 + 2w = 5(1 + w) 8 + 2w = (1 * 5 + w * 5) 8 + 2w = (5 + 5w) Solving 8 + 2w = 5 + 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 = 5 + 5w + -5w Combine like terms: 2w + -5w = -3w 8 + -3w = 5 + 5w + -5w Combine like terms: 5w + -5w = 0 8 + -3w = 5 + 0 8 + -3w = 5 Add '-8' to each side of the equation. 8 + -8 + -3w = 5 + -8 Combine like terms: 8 + -8 = 0 0 + -3w = 5 + -8 -3w = 5 + -8 Combine like terms: 5 + -8 = -3 -3w = -3 Divide each side by '-3'. w = 1 Simplifying w = 1
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