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Simplifying -9 = 3(4b + 8) + -1b Reorder the terms: -9 = 3(8 + 4b) + -1b -9 = (8 * 3 + 4b * 3) + -1b -9 = (24 + 12b) + -1b Combine like terms: 12b + -1b = 11b -9 = 24 + 11b Solving -9 = 24 + 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. -9 + -11b = 24 + 11b + -11b Combine like terms: 11b + -11b = 0 -9 + -11b = 24 + 0 -9 + -11b = 24 Add '9' to each side of the equation. -9 + 9 + -11b = 24 + 9 Combine like terms: -9 + 9 = 0 0 + -11b = 24 + 9 -11b = 24 + 9 Combine like terms: 24 + 9 = 33 -11b = 33 Divide each side by '-11'. b = -3 Simplifying b = -3
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