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Simplifying 10 + -2(5 + -1w) = 7 + -1(4 + -1w) 10 + (5 * -2 + -1w * -2) = 7 + -1(4 + -1w) 10 + (-10 + 2w) = 7 + -1(4 + -1w) Combine like terms: 10 + -10 = 0 0 + 2w = 7 + -1(4 + -1w) 2w = 7 + -1(4 + -1w) 2w = 7 + (4 * -1 + -1w * -1) 2w = 7 + (-4 + 1w) Combine like terms: 7 + -4 = 3 2w = 3 + 1w Solving 2w = 3 + 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. 2w + -1w = 3 + 1w + -1w Combine like terms: 2w + -1w = 1w 1w = 3 + 1w + -1w Combine like terms: 1w + -1w = 0 1w = 3 + 0 1w = 3 Divide each side by '1'. w = 3 Simplifying w = 3
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