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Simplifying 3w + 12 = -1(10 + -1w) Reorder the terms: 12 + 3w = -1(10 + -1w) 12 + 3w = (10 * -1 + -1w * -1) 12 + 3w = (-10 + 1w) Solving 12 + 3w = -10 + 1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 12 + 3w + -1w = -10 + 1w + -1w Combine like terms: 3w + -1w = 2w 12 + 2w = -10 + 1w + -1w Combine like terms: 1w + -1w = 0 12 + 2w = -10 + 0 12 + 2w = -10 Add '-12' to each side of the equation. 12 + -12 + 2w = -10 + -12 Combine like terms: 12 + -12 = 0 0 + 2w = -10 + -12 2w = -10 + -12 Combine like terms: -10 + -12 = -22 2w = -22 Divide each side by '2'. w = -11 Simplifying w = -11
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