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Simplifying 3(w + -9) = -2w + -7 Reorder the terms: 3(-9 + w) = -2w + -7 (-9 * 3 + w * 3) = -2w + -7 (-27 + 3w) = -2w + -7 Reorder the terms: -27 + 3w = -7 + -2w Solving -27 + 3w = -7 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -27 + 3w + 2w = -7 + -2w + 2w Combine like terms: 3w + 2w = 5w -27 + 5w = -7 + -2w + 2w Combine like terms: -2w + 2w = 0 -27 + 5w = -7 + 0 -27 + 5w = -7 Add '27' to each side of the equation. -27 + 27 + 5w = -7 + 27 Combine like terms: -27 + 27 = 0 0 + 5w = -7 + 27 5w = -7 + 27 Combine like terms: -7 + 27 = 20 5w = 20 Divide each side by '5'. w = 4 Simplifying w = 4
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