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Simplifying -3(w + -9) + 7w + 2 = 0 Reorder the terms: -3(-9 + w) + 7w + 2 = 0 (-9 * -3 + w * -3) + 7w + 2 = 0 (27 + -3w) + 7w + 2 = 0 Reorder the terms: 27 + 2 + -3w + 7w = 0 Combine like terms: 27 + 2 = 29 29 + -3w + 7w = 0 Combine like terms: -3w + 7w = 4w 29 + 4w = 0 Solving 29 + 4w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 4w = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 4w = 0 + -29 4w = 0 + -29 Combine like terms: 0 + -29 = -29 4w = -29 Divide each side by '4'. w = -7.25 Simplifying w = -7.25
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