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Simplifying 3 + -1(w + -4) = 4 + 5(2w + -1) Reorder the terms: 3 + -1(-4 + w) = 4 + 5(2w + -1) 3 + (-4 * -1 + w * -1) = 4 + 5(2w + -1) 3 + (4 + -1w) = 4 + 5(2w + -1) Combine like terms: 3 + 4 = 7 7 + -1w = 4 + 5(2w + -1) Reorder the terms: 7 + -1w = 4 + 5(-1 + 2w) 7 + -1w = 4 + (-1 * 5 + 2w * 5) 7 + -1w = 4 + (-5 + 10w) Combine like terms: 4 + -5 = -1 7 + -1w = -1 + 10w Solving 7 + -1w = -1 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. 7 + -1w + -10w = -1 + 10w + -10w Combine like terms: -1w + -10w = -11w 7 + -11w = -1 + 10w + -10w Combine like terms: 10w + -10w = 0 7 + -11w = -1 + 0 7 + -11w = -1 Add '-7' to each side of the equation. 7 + -7 + -11w = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -11w = -1 + -7 -11w = -1 + -7 Combine like terms: -1 + -7 = -8 -11w = -8 Divide each side by '-11'. w = 0.7272727273 Simplifying w = 0.7272727273
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