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Simplifying 12 + 5b(5 + 7) = 15b + 6 Combine like terms: 5 + 7 = 12 12 + 5b(12) = 15b + 6 Reorder the terms for easier multiplication: 12 + 5 * 12b = 15b + 6 Multiply 5 * 12 12 + 60b = 15b + 6 Reorder the terms: 12 + 60b = 6 + 15b Solving 12 + 60b = 6 + 15b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-15b' to each side of the equation. 12 + 60b + -15b = 6 + 15b + -15b Combine like terms: 60b + -15b = 45b 12 + 45b = 6 + 15b + -15b Combine like terms: 15b + -15b = 0 12 + 45b = 6 + 0 12 + 45b = 6 Add '-12' to each side of the equation. 12 + -12 + 45b = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 45b = 6 + -12 45b = 6 + -12 Combine like terms: 6 + -12 = -6 45b = -6 Divide each side by '45'. b = -0.1333333333 Simplifying b = -0.1333333333
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