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Simplifying 28 + -2(2w + 1) = 9w + -2(9 + 2) Reorder the terms: 28 + -2(1 + 2w) = 9w + -2(9 + 2) 28 + (1 * -2 + 2w * -2) = 9w + -2(9 + 2) 28 + (-2 + -4w) = 9w + -2(9 + 2) Combine like terms: 28 + -2 = 26 26 + -4w = 9w + -2(9 + 2) Combine like terms: 9 + 2 = 11 26 + -4w = 9w + -2(11) Multiply -2 * 11 26 + -4w = 9w + -22 Reorder the terms: 26 + -4w = -22 + 9w Solving 26 + -4w = -22 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 26 + -4w + -9w = -22 + 9w + -9w Combine like terms: -4w + -9w = -13w 26 + -13w = -22 + 9w + -9w Combine like terms: 9w + -9w = 0 26 + -13w = -22 + 0 26 + -13w = -22 Add '-26' to each side of the equation. 26 + -26 + -13w = -22 + -26 Combine like terms: 26 + -26 = 0 0 + -13w = -22 + -26 -13w = -22 + -26 Combine like terms: -22 + -26 = -48 -13w = -48 Divide each side by '-13'. w = 3.692307692 Simplifying w = 3.692307692
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