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Simplifying -2b + 3 + 5b + 1 = 12 + 9 Reorder the terms: 3 + 1 + -2b + 5b = 12 + 9 Combine like terms: 3 + 1 = 4 4 + -2b + 5b = 12 + 9 Combine like terms: -2b + 5b = 3b 4 + 3b = 12 + 9 Combine like terms: 12 + 9 = 21 4 + 3b = 21 Solving 4 + 3b = 21 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 = 21 + -4 Combine like terms: 4 + -4 = 0 0 + 3b = 21 + -4 3b = 21 + -4 Combine like terms: 21 + -4 = 17 3b = 17 Divide each side by '3'. b = 5.666666667 Simplifying b = 5.666666667
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