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Simplifying 12(b + 3) = 4(3b + 3) + 3b Reorder the terms: 12(3 + b) = 4(3b + 3) + 3b (3 * 12 + b * 12) = 4(3b + 3) + 3b (36 + 12b) = 4(3b + 3) + 3b Reorder the terms: 36 + 12b = 4(3 + 3b) + 3b 36 + 12b = (3 * 4 + 3b * 4) + 3b 36 + 12b = (12 + 12b) + 3b Combine like terms: 12b + 3b = 15b 36 + 12b = 12 + 15b Solving 36 + 12b = 12 + 15b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-15b' to each side of the equation. 36 + 12b + -15b = 12 + 15b + -15b Combine like terms: 12b + -15b = -3b 36 + -3b = 12 + 15b + -15b Combine like terms: 15b + -15b = 0 36 + -3b = 12 + 0 36 + -3b = 12 Add '-36' to each side of the equation. 36 + -36 + -3b = 12 + -36 Combine like terms: 36 + -36 = 0 0 + -3b = 12 + -36 -3b = 12 + -36 Combine like terms: 12 + -36 = -24 -3b = -24 Divide each side by '-3'. b = 8 Simplifying b = 8
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