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Simplifying 5(w + 7) = 3(w + 19) Reorder the terms: 5(7 + w) = 3(w + 19) (7 * 5 + w * 5) = 3(w + 19) (35 + 5w) = 3(w + 19) Reorder the terms: 35 + 5w = 3(19 + w) 35 + 5w = (19 * 3 + w * 3) 35 + 5w = (57 + 3w) Solving 35 + 5w = 57 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 35 + 5w + -3w = 57 + 3w + -3w Combine like terms: 5w + -3w = 2w 35 + 2w = 57 + 3w + -3w Combine like terms: 3w + -3w = 0 35 + 2w = 57 + 0 35 + 2w = 57 Add '-35' to each side of the equation. 35 + -35 + 2w = 57 + -35 Combine like terms: 35 + -35 = 0 0 + 2w = 57 + -35 2w = 57 + -35 Combine like terms: 57 + -35 = 22 2w = 22 Divide each side by '2'. w = 11 Simplifying w = 11
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