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Simplifying 33 + -4(2w + 1) = 9w + -4(9 + w) Reorder the terms: 33 + -4(1 + 2w) = 9w + -4(9 + w) 33 + (1 * -4 + 2w * -4) = 9w + -4(9 + w) 33 + (-4 + -8w) = 9w + -4(9 + w) Combine like terms: 33 + -4 = 29 29 + -8w = 9w + -4(9 + w) 29 + -8w = 9w + (9 * -4 + w * -4) 29 + -8w = 9w + (-36 + -4w) Reorder the terms: 29 + -8w = -36 + 9w + -4w Combine like terms: 9w + -4w = 5w 29 + -8w = -36 + 5w Solving 29 + -8w = -36 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 29 + -8w + -5w = -36 + 5w + -5w Combine like terms: -8w + -5w = -13w 29 + -13w = -36 + 5w + -5w Combine like terms: 5w + -5w = 0 29 + -13w = -36 + 0 29 + -13w = -36 Add '-29' to each side of the equation. 29 + -29 + -13w = -36 + -29 Combine like terms: 29 + -29 = 0 0 + -13w = -36 + -29 -13w = -36 + -29 Combine like terms: -36 + -29 = -65 -13w = -65 Divide each side by '-13'. w = 5 Simplifying w = 5
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