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Simplifying -3(w + -9) = 4w + -29 Reorder the terms: -3(-9 + w) = 4w + -29 (-9 * -3 + w * -3) = 4w + -29 (27 + -3w) = 4w + -29 Reorder the terms: 27 + -3w = -29 + 4w Solving 27 + -3w = -29 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 27 + -3w + -4w = -29 + 4w + -4w Combine like terms: -3w + -4w = -7w 27 + -7w = -29 + 4w + -4w Combine like terms: 4w + -4w = 0 27 + -7w = -29 + 0 27 + -7w = -29 Add '-27' to each side of the equation. 27 + -27 + -7w = -29 + -27 Combine like terms: 27 + -27 = 0 0 + -7w = -29 + -27 -7w = -29 + -27 Combine like terms: -29 + -27 = -56 -7w = -56 Divide each side by '-7'. w = 8 Simplifying w = 8
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