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Simplifying 7 + -4(2w + 1) = 9w + -4(9 + w) Reorder the terms: 7 + -4(1 + 2w) = 9w + -4(9 + w) 7 + (1 * -4 + 2w * -4) = 9w + -4(9 + w) 7 + (-4 + -8w) = 9w + -4(9 + w) Combine like terms: 7 + -4 = 3 3 + -8w = 9w + -4(9 + w) 3 + -8w = 9w + (9 * -4 + w * -4) 3 + -8w = 9w + (-36 + -4w) Reorder the terms: 3 + -8w = -36 + 9w + -4w Combine like terms: 9w + -4w = 5w 3 + -8w = -36 + 5w Solving 3 + -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. 3 + -8w + -5w = -36 + 5w + -5w Combine like terms: -8w + -5w = -13w 3 + -13w = -36 + 5w + -5w Combine like terms: 5w + -5w = 0 3 + -13w = -36 + 0 3 + -13w = -36 Add '-3' to each side of the equation. 3 + -3 + -13w = -36 + -3 Combine like terms: 3 + -3 = 0 0 + -13w = -36 + -3 -13w = -36 + -3 Combine like terms: -36 + -3 = -39 -13w = -39 Divide each side by '-13'. w = 3 Simplifying w = 3
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