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Simplifying [4b + 3] = 15 + -2b Reorder the terms: [3 + 4b] = 15 + -2b Remove brackets around [3 + 4b] 3 + 4b = 15 + -2b Solving 3 + 4b = 15 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. 3 + 4b + 2b = 15 + -2b + 2b Combine like terms: 4b + 2b = 6b 3 + 6b = 15 + -2b + 2b Combine like terms: -2b + 2b = 0 3 + 6b = 15 + 0 3 + 6b = 15 Add '-3' to each side of the equation. 3 + -3 + 6b = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 6b = 15 + -3 6b = 15 + -3 Combine like terms: 15 + -3 = 12 6b = 12 Divide each side by '6'. b = 2 Simplifying b = 2
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