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Simplifying 3w + -27 = -2(w + -9) Reorder the terms: -27 + 3w = -2(w + -9) Reorder the terms: -27 + 3w = -2(-9 + w) -27 + 3w = (-9 * -2 + w * -2) -27 + 3w = (18 + -2w) Solving -27 + 3w = 18 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -27 + 3w + 2w = 18 + -2w + 2w Combine like terms: 3w + 2w = 5w -27 + 5w = 18 + -2w + 2w Combine like terms: -2w + 2w = 0 -27 + 5w = 18 + 0 -27 + 5w = 18 Add '27' to each side of the equation. -27 + 27 + 5w = 18 + 27 Combine like terms: -27 + 27 = 0 0 + 5w = 18 + 27 5w = 18 + 27 Combine like terms: 18 + 27 = 45 5w = 45 Divide each side by '5'. w = 9 Simplifying w = 9
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