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Simplifying 13w + -1(5w + -7) = 0 Reorder the terms: 13w + -1(-7 + 5w) = 0 13w + (-7 * -1 + 5w * -1) = 0 13w + (7 + -5w) = 0 Reorder the terms: 7 + 13w + -5w = 0 Combine like terms: 13w + -5w = 8w 7 + 8w = 0 Solving 7 + 8w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 8w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 8w = 0 + -7 8w = 0 + -7 Combine like terms: 0 + -7 = -7 8w = -7 Divide each side by '8'. w = -0.875 Simplifying w = -0.875
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