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Simplifying 9(4 + -1w) = 3(2w + 2) (4 * 9 + -1w * 9) = 3(2w + 2) (36 + -9w) = 3(2w + 2) Reorder the terms: 36 + -9w = 3(2 + 2w) 36 + -9w = (2 * 3 + 2w * 3) 36 + -9w = (6 + 6w) Solving 36 + -9w = 6 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 36 + -9w + -6w = 6 + 6w + -6w Combine like terms: -9w + -6w = -15w 36 + -15w = 6 + 6w + -6w Combine like terms: 6w + -6w = 0 36 + -15w = 6 + 0 36 + -15w = 6 Add '-36' to each side of the equation. 36 + -36 + -15w = 6 + -36 Combine like terms: 36 + -36 = 0 0 + -15w = 6 + -36 -15w = 6 + -36 Combine like terms: 6 + -36 = -30 -15w = -30 Divide each side by '-15'. w = 2 Simplifying w = 2
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