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Simplifying 8(b + 1) + 4 = 3(2b + 8) + 16 Reorder the terms: 8(1 + b) + 4 = 3(2b + 8) + 16 (1 * 8 + b * 8) + 4 = 3(2b + 8) + 16 (8 + 8b) + 4 = 3(2b + 8) + 16 Reorder the terms: 8 + 4 + 8b = 3(2b + 8) + 16 Combine like terms: 8 + 4 = 12 12 + 8b = 3(2b + 8) + 16 Reorder the terms: 12 + 8b = 3(8 + 2b) + 16 12 + 8b = (8 * 3 + 2b * 3) + 16 12 + 8b = (24 + 6b) + 16 Reorder the terms: 12 + 8b = 24 + 16 + 6b Combine like terms: 24 + 16 = 40 12 + 8b = 40 + 6b Solving 12 + 8b = 40 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 12 + 8b + -6b = 40 + 6b + -6b Combine like terms: 8b + -6b = 2b 12 + 2b = 40 + 6b + -6b Combine like terms: 6b + -6b = 0 12 + 2b = 40 + 0 12 + 2b = 40 Add '-12' to each side of the equation. 12 + -12 + 2b = 40 + -12 Combine like terms: 12 + -12 = 0 0 + 2b = 40 + -12 2b = 40 + -12 Combine like terms: 40 + -12 = 28 2b = 28 Divide each side by '2'. b = 14 Simplifying b = 14
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