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Simplifying -3(w + -9) = 7w + -3 Reorder the terms: -3(-9 + w) = 7w + -3 (-9 * -3 + w * -3) = 7w + -3 (27 + -3w) = 7w + -3 Reorder the terms: 27 + -3w = -3 + 7w Solving 27 + -3w = -3 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 27 + -3w + -7w = -3 + 7w + -7w Combine like terms: -3w + -7w = -10w 27 + -10w = -3 + 7w + -7w Combine like terms: 7w + -7w = 0 27 + -10w = -3 + 0 27 + -10w = -3 Add '-27' to each side of the equation. 27 + -27 + -10w = -3 + -27 Combine like terms: 27 + -27 = 0 0 + -10w = -3 + -27 -10w = -3 + -27 Combine like terms: -3 + -27 = -30 -10w = -30 Divide each side by '-10'. w = 3 Simplifying w = 3
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