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Simplifying 6(2b + 5) = 15 + 7b Reorder the terms: 6(5 + 2b) = 15 + 7b (5 * 6 + 2b * 6) = 15 + 7b (30 + 12b) = 15 + 7b Solving 30 + 12b = 15 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. 30 + 12b + -7b = 15 + 7b + -7b Combine like terms: 12b + -7b = 5b 30 + 5b = 15 + 7b + -7b Combine like terms: 7b + -7b = 0 30 + 5b = 15 + 0 30 + 5b = 15 Add '-30' to each side of the equation. 30 + -30 + 5b = 15 + -30 Combine like terms: 30 + -30 = 0 0 + 5b = 15 + -30 5b = 15 + -30 Combine like terms: 15 + -30 = -15 5b = -15 Divide each side by '5'. b = -3 Simplifying b = -3
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