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Simplifying (2w + 9) + 3(4w + -1) + -9w = 4(3 + 2w) + -3 Reorder the terms: (9 + 2w) + 3(4w + -1) + -9w = 4(3 + 2w) + -3 Remove parenthesis around (9 + 2w) 9 + 2w + 3(4w + -1) + -9w = 4(3 + 2w) + -3 Reorder the terms: 9 + 2w + 3(-1 + 4w) + -9w = 4(3 + 2w) + -3 9 + 2w + (-1 * 3 + 4w * 3) + -9w = 4(3 + 2w) + -3 9 + 2w + (-3 + 12w) + -9w = 4(3 + 2w) + -3 Reorder the terms: 9 + -3 + 2w + 12w + -9w = 4(3 + 2w) + -3 Combine like terms: 9 + -3 = 6 6 + 2w + 12w + -9w = 4(3 + 2w) + -3 Combine like terms: 2w + 12w = 14w 6 + 14w + -9w = 4(3 + 2w) + -3 Combine like terms: 14w + -9w = 5w 6 + 5w = 4(3 + 2w) + -3 6 + 5w = (3 * 4 + 2w * 4) + -3 6 + 5w = (12 + 8w) + -3 Reorder the terms: 6 + 5w = 12 + -3 + 8w Combine like terms: 12 + -3 = 9 6 + 5w = 9 + 8w Solving 6 + 5w = 9 + 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. 6 + 5w + -8w = 9 + 8w + -8w Combine like terms: 5w + -8w = -3w 6 + -3w = 9 + 8w + -8w Combine like terms: 8w + -8w = 0 6 + -3w = 9 + 0 6 + -3w = 9 Add '-6' to each side of the equation. 6 + -6 + -3w = 9 + -6 Combine like terms: 6 + -6 = 0 0 + -3w = 9 + -6 -3w = 9 + -6 Combine like terms: 9 + -6 = 3 -3w = 3 Divide each side by '-3'. w = -1 Simplifying w = -1
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