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Simplifying -8(w + -2) = 3w + 5 Reorder the terms: -8(-2 + w) = 3w + 5 (-2 * -8 + w * -8) = 3w + 5 (16 + -8w) = 3w + 5 Reorder the terms: 16 + -8w = 5 + 3w Solving 16 + -8w = 5 + 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. 16 + -8w + -3w = 5 + 3w + -3w Combine like terms: -8w + -3w = -11w 16 + -11w = 5 + 3w + -3w Combine like terms: 3w + -3w = 0 16 + -11w = 5 + 0 16 + -11w = 5 Add '-16' to each side of the equation. 16 + -16 + -11w = 5 + -16 Combine like terms: 16 + -16 = 0 0 + -11w = 5 + -16 -11w = 5 + -16 Combine like terms: 5 + -16 = -11 -11w = -11 Divide each side by '-11'. w = 1 Simplifying w = 1
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