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Simplifying 5[b + 1] = 3[b + 3] Reorder the terms: 5[1 + b] = 3[b + 3] [1 * 5 + b * 5] = 3[b + 3] [5 + 5b] = 3[b + 3] Reorder the terms: 5 + 5b = 3[3 + b] 5 + 5b = [3 * 3 + b * 3] 5 + 5b = [9 + 3b] Solving 5 + 5b = 9 + 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. 5 + 5b + -3b = 9 + 3b + -3b Combine like terms: 5b + -3b = 2b 5 + 2b = 9 + 3b + -3b Combine like terms: 3b + -3b = 0 5 + 2b = 9 + 0 5 + 2b = 9 Add '-5' to each side of the equation. 5 + -5 + 2b = 9 + -5 Combine like terms: 5 + -5 = 0 0 + 2b = 9 + -5 2b = 9 + -5 Combine like terms: 9 + -5 = 4 2b = 4 Divide each side by '2'. b = 2 Simplifying b = 2
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