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Simplifying -8(w + -1) = 5w + -44 Reorder the terms: -8(-1 + w) = 5w + -44 (-1 * -8 + w * -8) = 5w + -44 (8 + -8w) = 5w + -44 Reorder the terms: 8 + -8w = -44 + 5w Solving 8 + -8w = -44 + 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. 8 + -8w + -5w = -44 + 5w + -5w Combine like terms: -8w + -5w = -13w 8 + -13w = -44 + 5w + -5w Combine like terms: 5w + -5w = 0 8 + -13w = -44 + 0 8 + -13w = -44 Add '-8' to each side of the equation. 8 + -8 + -13w = -44 + -8 Combine like terms: 8 + -8 = 0 0 + -13w = -44 + -8 -13w = -44 + -8 Combine like terms: -44 + -8 = -52 -13w = -52 Divide each side by '-13'. w = 4 Simplifying w = 4
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