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Simplifying -91 = 7(2b + 5) + 6(1 + 5b) Reorder the terms: -91 = 7(5 + 2b) + 6(1 + 5b) -91 = (5 * 7 + 2b * 7) + 6(1 + 5b) -91 = (35 + 14b) + 6(1 + 5b) -91 = 35 + 14b + (1 * 6 + 5b * 6) -91 = 35 + 14b + (6 + 30b) Reorder the terms: -91 = 35 + 6 + 14b + 30b Combine like terms: 35 + 6 = 41 -91 = 41 + 14b + 30b Combine like terms: 14b + 30b = 44b -91 = 41 + 44b Solving -91 = 41 + 44b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-44b' to each side of the equation. -91 + -44b = 41 + 44b + -44b Combine like terms: 44b + -44b = 0 -91 + -44b = 41 + 0 -91 + -44b = 41 Add '91' to each side of the equation. -91 + 91 + -44b = 41 + 91 Combine like terms: -91 + 91 = 0 0 + -44b = 41 + 91 -44b = 41 + 91 Combine like terms: 41 + 91 = 132 -44b = 132 Divide each side by '-44'. b = -3 Simplifying b = -3
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