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Simplifying -3(3w + -3) + 5w = 5 + 2(2w + -1) Reorder the terms: -3(-3 + 3w) + 5w = 5 + 2(2w + -1) (-3 * -3 + 3w * -3) + 5w = 5 + 2(2w + -1) (9 + -9w) + 5w = 5 + 2(2w + -1) Combine like terms: -9w + 5w = -4w 9 + -4w = 5 + 2(2w + -1) Reorder the terms: 9 + -4w = 5 + 2(-1 + 2w) 9 + -4w = 5 + (-1 * 2 + 2w * 2) 9 + -4w = 5 + (-2 + 4w) Combine like terms: 5 + -2 = 3 9 + -4w = 3 + 4w Solving 9 + -4w = 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. 9 + -4w + -4w = 3 + 4w + -4w Combine like terms: -4w + -4w = -8w 9 + -8w = 3 + 4w + -4w Combine like terms: 4w + -4w = 0 9 + -8w = 3 + 0 9 + -8w = 3 Add '-9' to each side of the equation. 9 + -9 + -8w = 3 + -9 Combine like terms: 9 + -9 = 0 0 + -8w = 3 + -9 -8w = 3 + -9 Combine like terms: 3 + -9 = -6 -8w = -6 Divide each side by '-8'. w = 0.75 Simplifying w = 0.75
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