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Simplifying -9w + 27 = -3(w + 1) Reorder the terms: 27 + -9w = -3(w + 1) Reorder the terms: 27 + -9w = -3(1 + w) 27 + -9w = (1 * -3 + w * -3) 27 + -9w = (-3 + -3w) Solving 27 + -9w = -3 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 27 + -9w + 3w = -3 + -3w + 3w Combine like terms: -9w + 3w = -6w 27 + -6w = -3 + -3w + 3w Combine like terms: -3w + 3w = 0 27 + -6w = -3 + 0 27 + -6w = -3 Add '-27' to each side of the equation. 27 + -27 + -6w = -3 + -27 Combine like terms: 27 + -27 = 0 0 + -6w = -3 + -27 -6w = -3 + -27 Combine like terms: -3 + -27 = -30 -6w = -30 Divide each side by '-6'. w = 5 Simplifying w = 5
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