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Simplifying 2(3 + -1b) + -2n = 6(-1b + 2) + -26 (3 * 2 + -1b * 2) + -2n = 6(-1b + 2) + -26 (6 + -2b) + -2n = 6(-1b + 2) + -26 Reorder the terms: 6 + -2b + -2n = 6(2 + -1b) + -26 6 + -2b + -2n = (2 * 6 + -1b * 6) + -26 6 + -2b + -2n = (12 + -6b) + -26 Reorder the terms: 6 + -2b + -2n = 12 + -26 + -6b Combine like terms: 12 + -26 = -14 6 + -2b + -2n = -14 + -6b Solving 6 + -2b + -2n = -14 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. 6 + -2b + 6b + -2n = -14 + -6b + 6b Combine like terms: -2b + 6b = 4b 6 + 4b + -2n = -14 + -6b + 6b Combine like terms: -6b + 6b = 0 6 + 4b + -2n = -14 + 0 6 + 4b + -2n = -14 Add '-6' to each side of the equation. 6 + 4b + -6 + -2n = -14 + -6 Reorder the terms: 6 + -6 + 4b + -2n = -14 + -6 Combine like terms: 6 + -6 = 0 0 + 4b + -2n = -14 + -6 4b + -2n = -14 + -6 Combine like terms: -14 + -6 = -20 4b + -2n = -20 Add '2n' to each side of the equation. 4b + -2n + 2n = -20 + 2n Combine like terms: -2n + 2n = 0 4b + 0 = -20 + 2n 4b = -20 + 2n Divide each side by '4'. b = -5 + 0.5n Simplifying b = -5 + 0.5n
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