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Simplifying 5b + 12 = 3(b + 6) Reorder the terms: 12 + 5b = 3(b + 6) Reorder the terms: 12 + 5b = 3(6 + b) 12 + 5b = (6 * 3 + b * 3) 12 + 5b = (18 + 3b) Solving 12 + 5b = 18 + 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. 12 + 5b + -3b = 18 + 3b + -3b Combine like terms: 5b + -3b = 2b 12 + 2b = 18 + 3b + -3b Combine like terms: 3b + -3b = 0 12 + 2b = 18 + 0 12 + 2b = 18 Add '-12' to each side of the equation. 12 + -12 + 2b = 18 + -12 Combine like terms: 12 + -12 = 0 0 + 2b = 18 + -12 2b = 18 + -12 Combine like terms: 18 + -12 = 6 2b = 6 Divide each side by '2'. b = 3 Simplifying b = 3
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