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Simplifying -2(w + 8) = -5w + -43 Reorder the terms: -2(8 + w) = -5w + -43 (8 * -2 + w * -2) = -5w + -43 (-16 + -2w) = -5w + -43 Reorder the terms: -16 + -2w = -43 + -5w Solving -16 + -2w = -43 + -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. -16 + -2w + 5w = -43 + -5w + 5w Combine like terms: -2w + 5w = 3w -16 + 3w = -43 + -5w + 5w Combine like terms: -5w + 5w = 0 -16 + 3w = -43 + 0 -16 + 3w = -43 Add '16' to each side of the equation. -16 + 16 + 3w = -43 + 16 Combine like terms: -16 + 16 = 0 0 + 3w = -43 + 16 3w = -43 + 16 Combine like terms: -43 + 16 = -27 3w = -27 Divide each side by '3'. w = -9 Simplifying w = -9
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