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Simplifying -9w + -27 = 9(w + -5) Reorder the terms: -27 + -9w = 9(w + -5) Reorder the terms: -27 + -9w = 9(-5 + w) -27 + -9w = (-5 * 9 + w * 9) -27 + -9w = (-45 + 9w) Solving -27 + -9w = -45 + 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 + -9w + -9w = -45 + 9w + -9w Combine like terms: -9w + -9w = -18w -27 + -18w = -45 + 9w + -9w Combine like terms: 9w + -9w = 0 -27 + -18w = -45 + 0 -27 + -18w = -45 Add '27' to each side of the equation. -27 + 27 + -18w = -45 + 27 Combine like terms: -27 + 27 = 0 0 + -18w = -45 + 27 -18w = -45 + 27 Combine like terms: -45 + 27 = -18 -18w = -18 Divide each side by '-18'. w = 1 Simplifying w = 1
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