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Simplifying 9w + -12 = 3(w + -8) Reorder the terms: -12 + 9w = 3(w + -8) Reorder the terms: -12 + 9w = 3(-8 + w) -12 + 9w = (-8 * 3 + w * 3) -12 + 9w = (-24 + 3w) Solving -12 + 9w = -24 + 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. -12 + 9w + -3w = -24 + 3w + -3w Combine like terms: 9w + -3w = 6w -12 + 6w = -24 + 3w + -3w Combine like terms: 3w + -3w = 0 -12 + 6w = -24 + 0 -12 + 6w = -24 Add '12' to each side of the equation. -12 + 12 + 6w = -24 + 12 Combine like terms: -12 + 12 = 0 0 + 6w = -24 + 12 6w = -24 + 12 Combine like terms: -24 + 12 = -12 6w = -12 Divide each side by '6'. w = -2 Simplifying w = -2
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