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Simplifying 8w + 77 = 5(5 + -1w) Reorder the terms: 77 + 8w = 5(5 + -1w) 77 + 8w = (5 * 5 + -1w * 5) 77 + 8w = (25 + -5w) Solving 77 + 8w = 25 + -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. 77 + 8w + 5w = 25 + -5w + 5w Combine like terms: 8w + 5w = 13w 77 + 13w = 25 + -5w + 5w Combine like terms: -5w + 5w = 0 77 + 13w = 25 + 0 77 + 13w = 25 Add '-77' to each side of the equation. 77 + -77 + 13w = 25 + -77 Combine like terms: 77 + -77 = 0 0 + 13w = 25 + -77 13w = 25 + -77 Combine like terms: 25 + -77 = -52 13w = -52 Divide each side by '13'. w = -4 Simplifying w = -4
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