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Simplifying -6(w + 6) = -9w + -39 Reorder the terms: -6(6 + w) = -9w + -39 (6 * -6 + w * -6) = -9w + -39 (-36 + -6w) = -9w + -39 Reorder the terms: -36 + -6w = -39 + -9w Solving -36 + -6w = -39 + -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. -36 + -6w + 9w = -39 + -9w + 9w Combine like terms: -6w + 9w = 3w -36 + 3w = -39 + -9w + 9w Combine like terms: -9w + 9w = 0 -36 + 3w = -39 + 0 -36 + 3w = -39 Add '36' to each side of the equation. -36 + 36 + 3w = -39 + 36 Combine like terms: -36 + 36 = 0 0 + 3w = -39 + 36 3w = -39 + 36 Combine like terms: -39 + 36 = -3 3w = -3 Divide each side by '3'. w = -1 Simplifying w = -1
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