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Simplifying 1 = -2(4 + -1w) 1 = (4 * -2 + -1w * -2) 1 = (-8 + 2w) Solving 1 = -8 + 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. 1 + -2w = -8 + 2w + -2w Combine like terms: 2w + -2w = 0 1 + -2w = -8 + 0 1 + -2w = -8 Add '-1' to each side of the equation. 1 + -1 + -2w = -8 + -1 Combine like terms: 1 + -1 = 0 0 + -2w = -8 + -1 -2w = -8 + -1 Combine like terms: -8 + -1 = -9 -2w = -9 Divide each side by '-2'. w = 4.5 Simplifying w = 4.5
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