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Simplifying 9 = 5x + 8(w + -7) Reorder the terms: 9 = 5x + 8(-7 + w) 9 = 5x + (-7 * 8 + w * 8) 9 = 5x + (-56 + 8w) Reorder the terms: 9 = -56 + 8w + 5x Solving 9 = -56 + 8w + 5x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 9 + -8w = -56 + 8w + -8w + 5x Combine like terms: 8w + -8w = 0 9 + -8w = -56 + 0 + 5x 9 + -8w = -56 + 5x Add '-9' to each side of the equation. 9 + -9 + -8w = -56 + -9 + 5x Combine like terms: 9 + -9 = 0 0 + -8w = -56 + -9 + 5x -8w = -56 + -9 + 5x Combine like terms: -56 + -9 = -65 -8w = -65 + 5x Divide each side by '-8'. w = 8.125 + -0.625x Simplifying w = 8.125 + -0.625x
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