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Simplifying 5(w + -8) + -1(-5w + -1) = 9w Reorder the terms: 5(-8 + w) + -1(-5w + -1) = 9w (-8 * 5 + w * 5) + -1(-5w + -1) = 9w (-40 + 5w) + -1(-5w + -1) = 9w Reorder the terms: -40 + 5w + -1(-1 + -5w) = 9w -40 + 5w + (-1 * -1 + -5w * -1) = 9w -40 + 5w + (1 + 5w) = 9w Reorder the terms: -40 + 1 + 5w + 5w = 9w Combine like terms: -40 + 1 = -39 -39 + 5w + 5w = 9w Combine like terms: 5w + 5w = 10w -39 + 10w = 9w Solving -39 + 10w = 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -39 + 10w + -9w = 9w + -9w Combine like terms: 10w + -9w = 1w -39 + 1w = 9w + -9w Combine like terms: 9w + -9w = 0 -39 + 1w = 0 Add '39' to each side of the equation. -39 + 39 + 1w = 0 + 39 Combine like terms: -39 + 39 = 0 0 + 1w = 0 + 39 1w = 0 + 39 Combine like terms: 0 + 39 = 39 1w = 39 Divide each side by '1'. w = 39 Simplifying w = 39
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