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Simplifying -7(w + -5) = 8w + 20 Reorder the terms: -7(-5 + w) = 8w + 20 (-5 * -7 + w * -7) = 8w + 20 (35 + -7w) = 8w + 20 Reorder the terms: 35 + -7w = 20 + 8w Solving 35 + -7w = 20 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 35 + -7w + -8w = 20 + 8w + -8w Combine like terms: -7w + -8w = -15w 35 + -15w = 20 + 8w + -8w Combine like terms: 8w + -8w = 0 35 + -15w = 20 + 0 35 + -15w = 20 Add '-35' to each side of the equation. 35 + -35 + -15w = 20 + -35 Combine like terms: 35 + -35 = 0 0 + -15w = 20 + -35 -15w = 20 + -35 Combine like terms: 20 + -35 = -15 -15w = -15 Divide each side by '-15'. w = 1 Simplifying w = 1
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