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Simplifying -12 = 7(w + -3) + 2w Reorder the terms: -12 = 7(-3 + w) + 2w -12 = (-3 * 7 + w * 7) + 2w -12 = (-21 + 7w) + 2w Combine like terms: 7w + 2w = 9w -12 = -21 + 9w Solving -12 = -21 + 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. -12 + -9w = -21 + 9w + -9w Combine like terms: 9w + -9w = 0 -12 + -9w = -21 + 0 -12 + -9w = -21 Add '12' to each side of the equation. -12 + 12 + -9w = -21 + 12 Combine like terms: -12 + 12 = 0 0 + -9w = -21 + 12 -9w = -21 + 12 Combine like terms: -21 + 12 = -9 -9w = -9 Divide each side by '-9'. w = 1 Simplifying w = 1
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