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Simplifying 0 = 12b + -3(4b + -8) + 8(3b + 1) Reorder the terms: 0 = 12b + -3(-8 + 4b) + 8(3b + 1) 0 = 12b + (-8 * -3 + 4b * -3) + 8(3b + 1) 0 = 12b + (24 + -12b) + 8(3b + 1) Reorder the terms: 0 = 12b + 24 + -12b + 8(1 + 3b) 0 = 12b + 24 + -12b + (1 * 8 + 3b * 8) 0 = 12b + 24 + -12b + (8 + 24b) Reorder the terms: 0 = 24 + 8 + 12b + -12b + 24b Combine like terms: 24 + 8 = 32 0 = 32 + 12b + -12b + 24b Combine like terms: 12b + -12b = 0 0 = 32 + 0 + 24b 0 = 32 + 24b Solving 0 = 32 + 24b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-24b' to each side of the equation. 0 + -24b = 32 + 24b + -24b Remove the zero: -24b = 32 + 24b + -24b Combine like terms: 24b + -24b = 0 -24b = 32 + 0 -24b = 32 Divide each side by '-24'. b = -1.333333333 Simplifying b = -1.333333333
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