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Simplifying 2(8 + 3b) + -1(6 + -5b) = b + 1 + -4b + -5 (8 * 2 + 3b * 2) + -1(6 + -5b) = b + 1 + -4b + -5 (16 + 6b) + -1(6 + -5b) = b + 1 + -4b + -5 16 + 6b + (6 * -1 + -5b * -1) = b + 1 + -4b + -5 16 + 6b + (-6 + 5b) = b + 1 + -4b + -5 Reorder the terms: 16 + -6 + 6b + 5b = b + 1 + -4b + -5 Combine like terms: 16 + -6 = 10 10 + 6b + 5b = b + 1 + -4b + -5 Combine like terms: 6b + 5b = 11b 10 + 11b = b + 1 + -4b + -5 Reorder the terms: 10 + 11b = 1 + -5 + b + -4b Combine like terms: 1 + -5 = -4 10 + 11b = -4 + b + -4b Combine like terms: b + -4b = -3b 10 + 11b = -4 + -3b Solving 10 + 11b = -4 + -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. 10 + 11b + 3b = -4 + -3b + 3b Combine like terms: 11b + 3b = 14b 10 + 14b = -4 + -3b + 3b Combine like terms: -3b + 3b = 0 10 + 14b = -4 + 0 10 + 14b = -4 Add '-10' to each side of the equation. 10 + -10 + 14b = -4 + -10 Combine like terms: 10 + -10 = 0 0 + 14b = -4 + -10 14b = -4 + -10 Combine like terms: -4 + -10 = -14 14b = -14 Divide each side by '14'. b = -1 Simplifying b = -1
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