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Simplifying 5 + 2(3b + 1) = 3b + 5 Reorder the terms: 5 + 2(1 + 3b) = 3b + 5 5 + (1 * 2 + 3b * 2) = 3b + 5 5 + (2 + 6b) = 3b + 5 Combine like terms: 5 + 2 = 7 7 + 6b = 3b + 5 Reorder the terms: 7 + 6b = 5 + 3b Solving 7 + 6b = 5 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 7 + 6b + -3b = 5 + 3b + -3b Combine like terms: 6b + -3b = 3b 7 + 3b = 5 + 3b + -3b Combine like terms: 3b + -3b = 0 7 + 3b = 5 + 0 7 + 3b = 5 Add '-7' to each side of the equation. 7 + -7 + 3b = 5 + -7 Combine like terms: 7 + -7 = 0 0 + 3b = 5 + -7 3b = 5 + -7 Combine like terms: 5 + -7 = -2 3b = -2 Divide each side by '3'. b = -0.6666666667 Simplifying b = -0.6666666667
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