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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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