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Simplifying 3(w + -2) = 9w + -12 Reorder the terms: 3(-2 + w) = 9w + -12 (-2 * 3 + w * 3) = 9w + -12 (-6 + 3w) = 9w + -12 Reorder the terms: -6 + 3w = -12 + 9w Solving -6 + 3w = -12 + 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. -6 + 3w + -9w = -12 + 9w + -9w Combine like terms: 3w + -9w = -6w -6 + -6w = -12 + 9w + -9w Combine like terms: 9w + -9w = 0 -6 + -6w = -12 + 0 -6 + -6w = -12 Add '6' to each side of the equation. -6 + 6 + -6w = -12 + 6 Combine like terms: -6 + 6 = 0 0 + -6w = -12 + 6 -6w = -12 + 6 Combine like terms: -12 + 6 = -6 -6w = -6 Divide each side by '-6'. w = 1 Simplifying w = 1
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