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Simplifying 9(w + -2) = 4w + -3 Reorder the terms: 9(-2 + w) = 4w + -3 (-2 * 9 + w * 9) = 4w + -3 (-18 + 9w) = 4w + -3 Reorder the terms: -18 + 9w = -3 + 4w Solving -18 + 9w = -3 + 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. -18 + 9w + -4w = -3 + 4w + -4w Combine like terms: 9w + -4w = 5w -18 + 5w = -3 + 4w + -4w Combine like terms: 4w + -4w = 0 -18 + 5w = -3 + 0 -18 + 5w = -3 Add '18' to each side of the equation. -18 + 18 + 5w = -3 + 18 Combine like terms: -18 + 18 = 0 0 + 5w = -3 + 18 5w = -3 + 18 Combine like terms: -3 + 18 = 15 5w = 15 Divide each side by '5'. w = 3 Simplifying w = 3
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