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Simplifying 3(2b + 1) + -7 = 50 Reorder the terms: 3(1 + 2b) + -7 = 50 (1 * 3 + 2b * 3) + -7 = 50 (3 + 6b) + -7 = 50 Reorder the terms: 3 + -7 + 6b = 50 Combine like terms: 3 + -7 = -4 -4 + 6b = 50 Solving -4 + 6b = 50 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 6b = 50 + 4 Combine like terms: -4 + 4 = 0 0 + 6b = 50 + 4 6b = 50 + 4 Combine like terms: 50 + 4 = 54 6b = 54 Divide each side by '6'. b = 9 Simplifying b = 9
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