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Simplifying -6(w + 4) = -9w + -12 Reorder the terms: -6(4 + w) = -9w + -12 (4 * -6 + w * -6) = -9w + -12 (-24 + -6w) = -9w + -12 Reorder the terms: -24 + -6w = -12 + -9w Solving -24 + -6w = -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. -24 + -6w + 9w = -12 + -9w + 9w Combine like terms: -6w + 9w = 3w -24 + 3w = -12 + -9w + 9w Combine like terms: -9w + 9w = 0 -24 + 3w = -12 + 0 -24 + 3w = -12 Add '24' to each side of the equation. -24 + 24 + 3w = -12 + 24 Combine like terms: -24 + 24 = 0 0 + 3w = -12 + 24 3w = -12 + 24 Combine like terms: -12 + 24 = 12 3w = 12 Divide each side by '3'. w = 4 Simplifying w = 4
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