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Simplifying 9(4w + -1) = 2(9w + 3) Reorder the terms: 9(-1 + 4w) = 2(9w + 3) (-1 * 9 + 4w * 9) = 2(9w + 3) (-9 + 36w) = 2(9w + 3) Reorder the terms: -9 + 36w = 2(3 + 9w) -9 + 36w = (3 * 2 + 9w * 2) -9 + 36w = (6 + 18w) Solving -9 + 36w = 6 + 18w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-18w' to each side of the equation. -9 + 36w + -18w = 6 + 18w + -18w Combine like terms: 36w + -18w = 18w -9 + 18w = 6 + 18w + -18w Combine like terms: 18w + -18w = 0 -9 + 18w = 6 + 0 -9 + 18w = 6 Add '9' to each side of the equation. -9 + 9 + 18w = 6 + 9 Combine like terms: -9 + 9 = 0 0 + 18w = 6 + 9 18w = 6 + 9 Combine like terms: 6 + 9 = 15 18w = 15 Divide each side by '18'. w = 0.8333333333 Simplifying w = 0.8333333333
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