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Simplifying -12 + 9(b + 1) = 11(b + 3) + -8 Reorder the terms: -12 + 9(1 + b) = 11(b + 3) + -8 -12 + (1 * 9 + b * 9) = 11(b + 3) + -8 -12 + (9 + 9b) = 11(b + 3) + -8 Combine like terms: -12 + 9 = -3 -3 + 9b = 11(b + 3) + -8 Reorder the terms: -3 + 9b = 11(3 + b) + -8 -3 + 9b = (3 * 11 + b * 11) + -8 -3 + 9b = (33 + 11b) + -8 Reorder the terms: -3 + 9b = 33 + -8 + 11b Combine like terms: 33 + -8 = 25 -3 + 9b = 25 + 11b Solving -3 + 9b = 25 + 11b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-11b' to each side of the equation. -3 + 9b + -11b = 25 + 11b + -11b Combine like terms: 9b + -11b = -2b -3 + -2b = 25 + 11b + -11b Combine like terms: 11b + -11b = 0 -3 + -2b = 25 + 0 -3 + -2b = 25 Add '3' to each side of the equation. -3 + 3 + -2b = 25 + 3 Combine like terms: -3 + 3 = 0 0 + -2b = 25 + 3 -2b = 25 + 3 Combine like terms: 25 + 3 = 28 -2b = 28 Divide each side by '-2'. b = -14 Simplifying b = -14
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