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Simplifying 7(2b + -1c) + 11 = 8b + -13 (2b * 7 + -1c * 7) + 11 = 8b + -13 (14b + -7c) + 11 = 8b + -13 Reorder the terms: 11 + 14b + -7c = 8b + -13 Reorder the terms: 11 + 14b + -7c = -13 + 8b Solving 11 + 14b + -7c = -13 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. 11 + 14b + -8b + -7c = -13 + 8b + -8b Combine like terms: 14b + -8b = 6b 11 + 6b + -7c = -13 + 8b + -8b Combine like terms: 8b + -8b = 0 11 + 6b + -7c = -13 + 0 11 + 6b + -7c = -13 Add '-11' to each side of the equation. 11 + 6b + -11 + -7c = -13 + -11 Reorder the terms: 11 + -11 + 6b + -7c = -13 + -11 Combine like terms: 11 + -11 = 0 0 + 6b + -7c = -13 + -11 6b + -7c = -13 + -11 Combine like terms: -13 + -11 = -24 6b + -7c = -24 Add '7c' to each side of the equation. 6b + -7c + 7c = -24 + 7c Combine like terms: -7c + 7c = 0 6b + 0 = -24 + 7c 6b = -24 + 7c Divide each side by '6'. b = -4 + 1.166666667c Simplifying b = -4 + 1.166666667c
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