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Simplifying -9w + 27 = -6(w + -6) Reorder the terms: 27 + -9w = -6(w + -6) Reorder the terms: 27 + -9w = -6(-6 + w) 27 + -9w = (-6 * -6 + w * -6) 27 + -9w = (36 + -6w) Solving 27 + -9w = 36 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 27 + -9w + 6w = 36 + -6w + 6w Combine like terms: -9w + 6w = -3w 27 + -3w = 36 + -6w + 6w Combine like terms: -6w + 6w = 0 27 + -3w = 36 + 0 27 + -3w = 36 Add '-27' to each side of the equation. 27 + -27 + -3w = 36 + -27 Combine like terms: 27 + -27 = 0 0 + -3w = 36 + -27 -3w = 36 + -27 Combine like terms: 36 + -27 = 9 -3w = 9 Divide each side by '-3'. w = -3 Simplifying w = -3
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