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Simplifying -9(w + 5) = -3w + -27 Reorder the terms: -9(5 + w) = -3w + -27 (5 * -9 + w * -9) = -3w + -27 (-45 + -9w) = -3w + -27 Reorder the terms: -45 + -9w = -27 + -3w Solving -45 + -9w = -27 + -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. -45 + -9w + 3w = -27 + -3w + 3w Combine like terms: -9w + 3w = -6w -45 + -6w = -27 + -3w + 3w Combine like terms: -3w + 3w = 0 -45 + -6w = -27 + 0 -45 + -6w = -27 Add '45' to each side of the equation. -45 + 45 + -6w = -27 + 45 Combine like terms: -45 + 45 = 0 0 + -6w = -27 + 45 -6w = -27 + 45 Combine like terms: -27 + 45 = 18 -6w = 18 Divide each side by '-6'. w = -3 Simplifying w = -3
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