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Simplifying -2(w + -1) = 3w + 27 Reorder the terms: -2(-1 + w) = 3w + 27 (-1 * -2 + w * -2) = 3w + 27 (2 + -2w) = 3w + 27 Reorder the terms: 2 + -2w = 27 + 3w Solving 2 + -2w = 27 + 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. 2 + -2w + -3w = 27 + 3w + -3w Combine like terms: -2w + -3w = -5w 2 + -5w = 27 + 3w + -3w Combine like terms: 3w + -3w = 0 2 + -5w = 27 + 0 2 + -5w = 27 Add '-2' to each side of the equation. 2 + -2 + -5w = 27 + -2 Combine like terms: 2 + -2 = 0 0 + -5w = 27 + -2 -5w = 27 + -2 Combine like terms: 27 + -2 = 25 -5w = 25 Divide each side by '-5'. w = -5 Simplifying w = -5
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