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Simplifying -3(b + -8) = 9(b + 2) + 1 Reorder the terms: -3(-8 + b) = 9(b + 2) + 1 (-8 * -3 + b * -3) = 9(b + 2) + 1 (24 + -3b) = 9(b + 2) + 1 Reorder the terms: 24 + -3b = 9(2 + b) + 1 24 + -3b = (2 * 9 + b * 9) + 1 24 + -3b = (18 + 9b) + 1 Reorder the terms: 24 + -3b = 18 + 1 + 9b Combine like terms: 18 + 1 = 19 24 + -3b = 19 + 9b Solving 24 + -3b = 19 + 9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9b' to each side of the equation. 24 + -3b + -9b = 19 + 9b + -9b Combine like terms: -3b + -9b = -12b 24 + -12b = 19 + 9b + -9b Combine like terms: 9b + -9b = 0 24 + -12b = 19 + 0 24 + -12b = 19 Add '-24' to each side of the equation. 24 + -24 + -12b = 19 + -24 Combine like terms: 24 + -24 = 0 0 + -12b = 19 + -24 -12b = 19 + -24 Combine like terms: 19 + -24 = -5 -12b = -5 Divide each side by '-12'. b = 0.4166666667 Simplifying b = 0.4166666667
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