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Simplifying 11 = 24 + -1(4 + -2w) 11 = 24 + (4 * -1 + -2w * -1) 11 = 24 + (-4 + 2w) Combine like terms: 24 + -4 = 20 11 = 20 + 2w Solving 11 = 20 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 11 + -2w = 20 + 2w + -2w Combine like terms: 2w + -2w = 0 11 + -2w = 20 + 0 11 + -2w = 20 Add '-11' to each side of the equation. 11 + -11 + -2w = 20 + -11 Combine like terms: 11 + -11 = 0 0 + -2w = 20 + -11 -2w = 20 + -11 Combine like terms: 20 + -11 = 9 -2w = 9 Divide each side by '-2'. w = -4.5 Simplifying w = -4.5
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