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Simplifying -2(w + -4) = -5w + -13 Reorder the terms: -2(-4 + w) = -5w + -13 (-4 * -2 + w * -2) = -5w + -13 (8 + -2w) = -5w + -13 Reorder the terms: 8 + -2w = -13 + -5w Solving 8 + -2w = -13 + -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 + -2w + 5w = -13 + -5w + 5w Combine like terms: -2w + 5w = 3w 8 + 3w = -13 + -5w + 5w Combine like terms: -5w + 5w = 0 8 + 3w = -13 + 0 8 + 3w = -13 Add '-8' to each side of the equation. 8 + -8 + 3w = -13 + -8 Combine like terms: 8 + -8 = 0 0 + 3w = -13 + -8 3w = -13 + -8 Combine like terms: -13 + -8 = -21 3w = -21 Divide each side by '3'. w = -7 Simplifying w = -7
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