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Simplifying 3(b + 6) + 5(b + 2) = 68 Reorder the terms: 3(6 + b) + 5(b + 2) = 68 (6 * 3 + b * 3) + 5(b + 2) = 68 (18 + 3b) + 5(b + 2) = 68 Reorder the terms: 18 + 3b + 5(2 + b) = 68 18 + 3b + (2 * 5 + b * 5) = 68 18 + 3b + (10 + 5b) = 68 Reorder the terms: 18 + 10 + 3b + 5b = 68 Combine like terms: 18 + 10 = 28 28 + 3b + 5b = 68 Combine like terms: 3b + 5b = 8b 28 + 8b = 68 Solving 28 + 8b = 68 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 8b = 68 + -28 Combine like terms: 28 + -28 = 0 0 + 8b = 68 + -28 8b = 68 + -28 Combine like terms: 68 + -28 = 40 8b = 40 Divide each side by '8'. b = 5 Simplifying b = 5
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