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Simplifying -3(w + -5) = 8w + 48 Reorder the terms: -3(-5 + w) = 8w + 48 (-5 * -3 + w * -3) = 8w + 48 (15 + -3w) = 8w + 48 Reorder the terms: 15 + -3w = 48 + 8w Solving 15 + -3w = 48 + 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. 15 + -3w + -8w = 48 + 8w + -8w Combine like terms: -3w + -8w = -11w 15 + -11w = 48 + 8w + -8w Combine like terms: 8w + -8w = 0 15 + -11w = 48 + 0 15 + -11w = 48 Add '-15' to each side of the equation. 15 + -15 + -11w = 48 + -15 Combine like terms: 15 + -15 = 0 0 + -11w = 48 + -15 -11w = 48 + -15 Combine like terms: 48 + -15 = 33 -11w = 33 Divide each side by '-11'. w = -3 Simplifying w = -3
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