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Simplifying 7(w + -2) = 9w + -12 Reorder the terms: 7(-2 + w) = 9w + -12 (-2 * 7 + w * 7) = 9w + -12 (-14 + 7w) = 9w + -12 Reorder the terms: -14 + 7w = -12 + 9w Solving -14 + 7w = -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. -14 + 7w + -9w = -12 + 9w + -9w Combine like terms: 7w + -9w = -2w -14 + -2w = -12 + 9w + -9w Combine like terms: 9w + -9w = 0 -14 + -2w = -12 + 0 -14 + -2w = -12 Add '14' to each side of the equation. -14 + 14 + -2w = -12 + 14 Combine like terms: -14 + 14 = 0 0 + -2w = -12 + 14 -2w = -12 + 14 Combine like terms: -12 + 14 = 2 -2w = 2 Divide each side by '-2'. w = -1 Simplifying w = -1
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