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Simplifying -2b + 3 + 5b + 1 = 2(3 + 2) + 9 Reorder the terms: 3 + 1 + -2b + 5b = 2(3 + 2) + 9 Combine like terms: 3 + 1 = 4 4 + -2b + 5b = 2(3 + 2) + 9 Combine like terms: -2b + 5b = 3b 4 + 3b = 2(3 + 2) + 9 Combine like terms: 3 + 2 = 5 4 + 3b = 2(5) + 9 Multiply 2 * 5 4 + 3b = 10 + 9 Combine like terms: 10 + 9 = 19 4 + 3b = 19 Solving 4 + 3b = 19 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 + 3b = 19 + -4 Combine like terms: 4 + -4 = 0 0 + 3b = 19 + -4 3b = 19 + -4 Combine like terms: 19 + -4 = 15 3b = 15 Divide each side by '3'. b = 5 Simplifying b = 5
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