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Simplifying 8w + -13 = -9(w + -8) Reorder the terms: -13 + 8w = -9(w + -8) Reorder the terms: -13 + 8w = -9(-8 + w) -13 + 8w = (-8 * -9 + w * -9) -13 + 8w = (72 + -9w) Solving -13 + 8w = 72 + -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. -13 + 8w + 9w = 72 + -9w + 9w Combine like terms: 8w + 9w = 17w -13 + 17w = 72 + -9w + 9w Combine like terms: -9w + 9w = 0 -13 + 17w = 72 + 0 -13 + 17w = 72 Add '13' to each side of the equation. -13 + 13 + 17w = 72 + 13 Combine like terms: -13 + 13 = 0 0 + 17w = 72 + 13 17w = 72 + 13 Combine like terms: 72 + 13 = 85 17w = 85 Divide each side by '17'. w = 5 Simplifying w = 5
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