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Simplifying 9b + 9 + b + 3 = 11(10b + 3) + -9(12b + -3) Reorder the terms: 9 + 3 + 9b + b = 11(10b + 3) + -9(12b + -3) Combine like terms: 9 + 3 = 12 12 + 9b + b = 11(10b + 3) + -9(12b + -3) Combine like terms: 9b + b = 10b 12 + 10b = 11(10b + 3) + -9(12b + -3) Reorder the terms: 12 + 10b = 11(3 + 10b) + -9(12b + -3) 12 + 10b = (3 * 11 + 10b * 11) + -9(12b + -3) 12 + 10b = (33 + 110b) + -9(12b + -3) Reorder the terms: 12 + 10b = 33 + 110b + -9(-3 + 12b) 12 + 10b = 33 + 110b + (-3 * -9 + 12b * -9) 12 + 10b = 33 + 110b + (27 + -108b) Reorder the terms: 12 + 10b = 33 + 27 + 110b + -108b Combine like terms: 33 + 27 = 60 12 + 10b = 60 + 110b + -108b Combine like terms: 110b + -108b = 2b 12 + 10b = 60 + 2b Solving 12 + 10b = 60 + 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. 12 + 10b + -2b = 60 + 2b + -2b Combine like terms: 10b + -2b = 8b 12 + 8b = 60 + 2b + -2b Combine like terms: 2b + -2b = 0 12 + 8b = 60 + 0 12 + 8b = 60 Add '-12' to each side of the equation. 12 + -12 + 8b = 60 + -12 Combine like terms: 12 + -12 = 0 0 + 8b = 60 + -12 8b = 60 + -12 Combine like terms: 60 + -12 = 48 8b = 48 Divide each side by '8'. b = 6 Simplifying b = 6
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