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Simplifying 8w + -5(5w + -8) = 13 + 5w Reorder the terms: 8w + -5(-8 + 5w) = 13 + 5w 8w + (-8 * -5 + 5w * -5) = 13 + 5w 8w + (40 + -25w) = 13 + 5w Reorder the terms: 40 + 8w + -25w = 13 + 5w Combine like terms: 8w + -25w = -17w 40 + -17w = 13 + 5w Solving 40 + -17w = 13 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 40 + -17w + -5w = 13 + 5w + -5w Combine like terms: -17w + -5w = -22w 40 + -22w = 13 + 5w + -5w Combine like terms: 5w + -5w = 0 40 + -22w = 13 + 0 40 + -22w = 13 Add '-40' to each side of the equation. 40 + -40 + -22w = 13 + -40 Combine like terms: 40 + -40 = 0 0 + -22w = 13 + -40 -22w = 13 + -40 Combine like terms: 13 + -40 = -27 -22w = -27 Divide each side by '-22'. w = 1.227272727 Simplifying w = 1.227272727
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