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Simplifying 12 + -1(2w + 7) = 8 + -1w Reorder the terms: 12 + -1(7 + 2w) = 8 + -1w 12 + (7 * -1 + 2w * -1) = 8 + -1w 12 + (-7 + -2w) = 8 + -1w Combine like terms: 12 + -7 = 5 5 + -2w = 8 + -1w Solving 5 + -2w = 8 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. 5 + -2w + w = 8 + -1w + w Combine like terms: -2w + w = -1w 5 + -1w = 8 + -1w + w Combine like terms: -1w + w = 0 5 + -1w = 8 + 0 5 + -1w = 8 Add '-5' to each side of the equation. 5 + -5 + -1w = 8 + -5 Combine like terms: 5 + -5 = 0 0 + -1w = 8 + -5 -1w = 8 + -5 Combine like terms: 8 + -5 = 3 -1w = 3 Divide each side by '-1'. w = -3 Simplifying w = -3
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