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Simplifying 3(8b + 3) + 6 = 36 + 3b Reorder the terms: 3(3 + 8b) + 6 = 36 + 3b (3 * 3 + 8b * 3) + 6 = 36 + 3b (9 + 24b) + 6 = 36 + 3b Reorder the terms: 9 + 6 + 24b = 36 + 3b Combine like terms: 9 + 6 = 15 15 + 24b = 36 + 3b Solving 15 + 24b = 36 + 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. 15 + 24b + -3b = 36 + 3b + -3b Combine like terms: 24b + -3b = 21b 15 + 21b = 36 + 3b + -3b Combine like terms: 3b + -3b = 0 15 + 21b = 36 + 0 15 + 21b = 36 Add '-15' to each side of the equation. 15 + -15 + 21b = 36 + -15 Combine like terms: 15 + -15 = 0 0 + 21b = 36 + -15 21b = 36 + -15 Combine like terms: 36 + -15 = 21 21b = 21 Divide each side by '21'. b = 1 Simplifying b = 1
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