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Simplifying 12 + -3(2w + 1) = 3(10 + w) Reorder the terms: 12 + -3(1 + 2w) = 3(10 + w) 12 + (1 * -3 + 2w * -3) = 3(10 + w) 12 + (-3 + -6w) = 3(10 + w) Combine like terms: 12 + -3 = 9 9 + -6w = 3(10 + w) 9 + -6w = (10 * 3 + w * 3) 9 + -6w = (30 + 3w) Solving 9 + -6w = 30 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 9 + -6w + -3w = 30 + 3w + -3w Combine like terms: -6w + -3w = -9w 9 + -9w = 30 + 3w + -3w Combine like terms: 3w + -3w = 0 9 + -9w = 30 + 0 9 + -9w = 30 Add '-9' to each side of the equation. 9 + -9 + -9w = 30 + -9 Combine like terms: 9 + -9 = 0 0 + -9w = 30 + -9 -9w = 30 + -9 Combine like terms: 30 + -9 = 21 -9w = 21 Divide each side by '-9'. w = -2.333333333 Simplifying w = -2.333333333
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