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Simplifying 3(w + -3) = 8w + -9 Reorder the terms: 3(-3 + w) = 8w + -9 (-3 * 3 + w * 3) = 8w + -9 (-9 + 3w) = 8w + -9 Reorder the terms: -9 + 3w = -9 + 8w Add '9' to each side of the equation. -9 + 9 + 3w = -9 + 9 + 8w Combine like terms: -9 + 9 = 0 0 + 3w = -9 + 9 + 8w 3w = -9 + 9 + 8w Combine like terms: -9 + 9 = 0 3w = 0 + 8w 3w = 8w Solving 3w = 8w 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. 3w + -8w = 8w + -8w Combine like terms: 3w + -8w = -5w -5w = 8w + -8w Combine like terms: 8w + -8w = 0 -5w = 0 Divide each side by '-5'. w = 0 Simplifying w = 0
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