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Simplifying -3(w + -3) + 4w = 8(w + 9) Reorder the terms: -3(-3 + w) + 4w = 8(w + 9) (-3 * -3 + w * -3) + 4w = 8(w + 9) (9 + -3w) + 4w = 8(w + 9) Combine like terms: -3w + 4w = 1w 9 + 1w = 8(w + 9) Reorder the terms: 9 + 1w = 8(9 + w) 9 + 1w = (9 * 8 + w * 8) 9 + 1w = (72 + 8w) Solving 9 + 1w = 72 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 9 + 1w + -8w = 72 + 8w + -8w Combine like terms: 1w + -8w = -7w 9 + -7w = 72 + 8w + -8w Combine like terms: 8w + -8w = 0 9 + -7w = 72 + 0 9 + -7w = 72 Add '-9' to each side of the equation. 9 + -9 + -7w = 72 + -9 Combine like terms: 9 + -9 = 0 0 + -7w = 72 + -9 -7w = 72 + -9 Combine like terms: 72 + -9 = 63 -7w = 63 Divide each side by '-7'. w = -9 Simplifying w = -9
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