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Simplifying 13b + 5 = (2b + 5) + -1(8b + 6) + 3(b + -2) Reorder the terms: 5 + 13b = (2b + 5) + -1(8b + 6) + 3(b + -2) Reorder the terms: 5 + 13b = (5 + 2b) + -1(8b + 6) + 3(b + -2) Remove parenthesis around (5 + 2b) 5 + 13b = 5 + 2b + -1(8b + 6) + 3(b + -2) Reorder the terms: 5 + 13b = 5 + 2b + -1(6 + 8b) + 3(b + -2) 5 + 13b = 5 + 2b + (6 * -1 + 8b * -1) + 3(b + -2) 5 + 13b = 5 + 2b + (-6 + -8b) + 3(b + -2) Reorder the terms: 5 + 13b = 5 + 2b + -6 + -8b + 3(-2 + b) 5 + 13b = 5 + 2b + -6 + -8b + (-2 * 3 + b * 3) 5 + 13b = 5 + 2b + -6 + -8b + (-6 + 3b) Reorder the terms: 5 + 13b = 5 + -6 + -6 + 2b + -8b + 3b Combine like terms: 5 + -6 = -1 5 + 13b = -1 + -6 + 2b + -8b + 3b Combine like terms: -1 + -6 = -7 5 + 13b = -7 + 2b + -8b + 3b Combine like terms: 2b + -8b = -6b 5 + 13b = -7 + -6b + 3b Combine like terms: -6b + 3b = -3b 5 + 13b = -7 + -3b Solving 5 + 13b = -7 + -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. 5 + 13b + 3b = -7 + -3b + 3b Combine like terms: 13b + 3b = 16b 5 + 16b = -7 + -3b + 3b Combine like terms: -3b + 3b = 0 5 + 16b = -7 + 0 5 + 16b = -7 Add '-5' to each side of the equation. 5 + -5 + 16b = -7 + -5 Combine like terms: 5 + -5 = 0 0 + 16b = -7 + -5 16b = -7 + -5 Combine like terms: -7 + -5 = -12 16b = -12 Divide each side by '16'. b = -0.75 Simplifying b = -0.75
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