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Simplifying -4(2w + -1) + 3(3w + 7) = 18 Reorder the terms: -4(-1 + 2w) + 3(3w + 7) = 18 (-1 * -4 + 2w * -4) + 3(3w + 7) = 18 (4 + -8w) + 3(3w + 7) = 18 Reorder the terms: 4 + -8w + 3(7 + 3w) = 18 4 + -8w + (7 * 3 + 3w * 3) = 18 4 + -8w + (21 + 9w) = 18 Reorder the terms: 4 + 21 + -8w + 9w = 18 Combine like terms: 4 + 21 = 25 25 + -8w + 9w = 18 Combine like terms: -8w + 9w = 1w 25 + 1w = 18 Solving 25 + 1w = 18 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 1w = 18 + -25 Combine like terms: 25 + -25 = 0 0 + 1w = 18 + -25 1w = 18 + -25 Combine like terms: 18 + -25 = -7 1w = -7 Divide each side by '1'. w = -7 Simplifying w = -7
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