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Simplifying 8w + -17 = 3(w + -9) Reorder the terms: -17 + 8w = 3(w + -9) Reorder the terms: -17 + 8w = 3(-9 + w) -17 + 8w = (-9 * 3 + w * 3) -17 + 8w = (-27 + 3w) Solving -17 + 8w = -27 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -17 + 8w + -3w = -27 + 3w + -3w Combine like terms: 8w + -3w = 5w -17 + 5w = -27 + 3w + -3w Combine like terms: 3w + -3w = 0 -17 + 5w = -27 + 0 -17 + 5w = -27 Add '17' to each side of the equation. -17 + 17 + 5w = -27 + 17 Combine like terms: -17 + 17 = 0 0 + 5w = -27 + 17 5w = -27 + 17 Combine like terms: -27 + 17 = -10 5w = -10 Divide each side by '5'. w = -2 Simplifying w = -2
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