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Simplifying -30 = 7(w + -3) + 2w Reorder the terms: -30 = 7(-3 + w) + 2w -30 = (-3 * 7 + w * 7) + 2w -30 = (-21 + 7w) + 2w Combine like terms: 7w + 2w = 9w -30 = -21 + 9w Solving -30 = -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. -30 + -9w = -21 + 9w + -9w Combine like terms: 9w + -9w = 0 -30 + -9w = -21 + 0 -30 + -9w = -21 Add '30' to each side of the equation. -30 + 30 + -9w = -21 + 30 Combine like terms: -30 + 30 = 0 0 + -9w = -21 + 30 -9w = -21 + 30 Combine like terms: -21 + 30 = 9 -9w = 9 Divide each side by '-9'. w = -1 Simplifying w = -1
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