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Simplifying 6w + -27 = 9(w + -2) Reorder the terms: -27 + 6w = 9(w + -2) Reorder the terms: -27 + 6w = 9(-2 + w) -27 + 6w = (-2 * 9 + w * 9) -27 + 6w = (-18 + 9w) Solving -27 + 6w = -18 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -27 + 6w + -9w = -18 + 9w + -9w Combine like terms: 6w + -9w = -3w -27 + -3w = -18 + 9w + -9w Combine like terms: 9w + -9w = 0 -27 + -3w = -18 + 0 -27 + -3w = -18 Add '27' to each side of the equation. -27 + 27 + -3w = -18 + 27 Combine like terms: -27 + 27 = 0 0 + -3w = -18 + 27 -3w = -18 + 27 Combine like terms: -18 + 27 = 9 -3w = 9 Divide each side by '-3'. w = -3 Simplifying w = -3
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