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Simplifying -9w + -24 = -3(w + -6) Reorder the terms: -24 + -9w = -3(w + -6) Reorder the terms: -24 + -9w = -3(-6 + w) -24 + -9w = (-6 * -3 + w * -3) -24 + -9w = (18 + -3w) Solving -24 + -9w = 18 + -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. -24 + -9w + 3w = 18 + -3w + 3w Combine like terms: -9w + 3w = -6w -24 + -6w = 18 + -3w + 3w Combine like terms: -3w + 3w = 0 -24 + -6w = 18 + 0 -24 + -6w = 18 Add '24' to each side of the equation. -24 + 24 + -6w = 18 + 24 Combine like terms: -24 + 24 = 0 0 + -6w = 18 + 24 -6w = 18 + 24 Combine like terms: 18 + 24 = 42 -6w = 42 Divide each side by '-6'. w = -7 Simplifying w = -7
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