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Simplifying 3b + 5(b + 6) = 36 + 2b Reorder the terms: 3b + 5(6 + b) = 36 + 2b 3b + (6 * 5 + b * 5) = 36 + 2b 3b + (30 + 5b) = 36 + 2b Reorder the terms: 30 + 3b + 5b = 36 + 2b Combine like terms: 3b + 5b = 8b 30 + 8b = 36 + 2b Solving 30 + 8b = 36 + 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. 30 + 8b + -2b = 36 + 2b + -2b Combine like terms: 8b + -2b = 6b 30 + 6b = 36 + 2b + -2b Combine like terms: 2b + -2b = 0 30 + 6b = 36 + 0 30 + 6b = 36 Add '-30' to each side of the equation. 30 + -30 + 6b = 36 + -30 Combine like terms: 30 + -30 = 0 0 + 6b = 36 + -30 6b = 36 + -30 Combine like terms: 36 + -30 = 6 6b = 6 Divide each side by '6'. b = 1 Simplifying b = 1
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