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Simplifying 8w + -9 + -1(7 + -5w) = 1 8w + -9 + (7 * -1 + -5w * -1) = 1 8w + -9 + (-7 + 5w) = 1 Reorder the terms: -9 + -7 + 8w + 5w = 1 Combine like terms: -9 + -7 = -16 -16 + 8w + 5w = 1 Combine like terms: 8w + 5w = 13w -16 + 13w = 1 Solving -16 + 13w = 1 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 13w = 1 + 16 Combine like terms: -16 + 16 = 0 0 + 13w = 1 + 16 13w = 1 + 16 Combine like terms: 1 + 16 = 17 13w = 17 Divide each side by '13'. w = 1.307692308 Simplifying w = 1.307692308
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