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