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Simplifying 3(b + 6) = 8(14b + -1(12b + -5)) Reorder the terms: 3(6 + b) = 8(14b + -1(12b + -5)) (6 * 3 + b * 3) = 8(14b + -1(12b + -5)) (18 + 3b) = 8(14b + -1(12b + -5)) Reorder the terms: 18 + 3b = 8(14b + -1(-5 + 12b)) 18 + 3b = 8(14b + (-5 * -1 + 12b * -1)) 18 + 3b = 8(14b + (5 + -12b)) Reorder the terms: 18 + 3b = 8(5 + 14b + -12b) Combine like terms: 14b + -12b = 2b 18 + 3b = 8(5 + 2b) 18 + 3b = (5 * 8 + 2b * 8) 18 + 3b = (40 + 16b) Solving 18 + 3b = 40 + 16b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-16b' to each side of the equation. 18 + 3b + -16b = 40 + 16b + -16b Combine like terms: 3b + -16b = -13b 18 + -13b = 40 + 16b + -16b Combine like terms: 16b + -16b = 0 18 + -13b = 40 + 0 18 + -13b = 40 Add '-18' to each side of the equation. 18 + -18 + -13b = 40 + -18 Combine like terms: 18 + -18 = 0 0 + -13b = 40 + -18 -13b = 40 + -18 Combine like terms: 40 + -18 = 22 -13b = 22 Divide each side by '-13'. b = -1.692307692 Simplifying b = -1.692307692
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