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Simplifying 3(4 + -1w) = 3(2w + 2) (4 * 3 + -1w * 3) = 3(2w + 2) (12 + -3w) = 3(2w + 2) Reorder the terms: 12 + -3w = 3(2 + 2w) 12 + -3w = (2 * 3 + 2w * 3) 12 + -3w = (6 + 6w) Solving 12 + -3w = 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. 12 + -3w + -6w = 6 + 6w + -6w Combine like terms: -3w + -6w = -9w 12 + -9w = 6 + 6w + -6w Combine like terms: 6w + -6w = 0 12 + -9w = 6 + 0 12 + -9w = 6 Add '-12' to each side of the equation. 12 + -12 + -9w = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -9w = 6 + -12 -9w = 6 + -12 Combine like terms: 6 + -12 = -6 -9w = -6 Divide each side by '-9'. w = 0.6666666667 Simplifying w = 0.6666666667
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