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Simplifying -5(w + -3) = 2w + -27 Reorder the terms: -5(-3 + w) = 2w + -27 (-3 * -5 + w * -5) = 2w + -27 (15 + -5w) = 2w + -27 Reorder the terms: 15 + -5w = -27 + 2w Solving 15 + -5w = -27 + 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. 15 + -5w + -2w = -27 + 2w + -2w Combine like terms: -5w + -2w = -7w 15 + -7w = -27 + 2w + -2w Combine like terms: 2w + -2w = 0 15 + -7w = -27 + 0 15 + -7w = -27 Add '-15' to each side of the equation. 15 + -15 + -7w = -27 + -15 Combine like terms: 15 + -15 = 0 0 + -7w = -27 + -15 -7w = -27 + -15 Combine like terms: -27 + -15 = -42 -7w = -42 Divide each side by '-7'. w = 6 Simplifying w = 6
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