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Simplifying 7(1 + 2b) + 6b = 147 (1 * 7 + 2b * 7) + 6b = 147 (7 + 14b) + 6b = 147 Combine like terms: 14b + 6b = 20b 7 + 20b = 147 Solving 7 + 20b = 147 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 20b = 147 + -7 Combine like terms: 7 + -7 = 0 0 + 20b = 147 + -7 20b = 147 + -7 Combine like terms: 147 + -7 = 140 20b = 140 Divide each side by '20'. b = 7 Simplifying b = 7
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