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Simplifying 9(4b + -1) = 2(8b + 3) Reorder the terms: 9(-1 + 4b) = 2(8b + 3) (-1 * 9 + 4b * 9) = 2(8b + 3) (-9 + 36b) = 2(8b + 3) Reorder the terms: -9 + 36b = 2(3 + 8b) -9 + 36b = (3 * 2 + 8b * 2) -9 + 36b = (6 + 16b) Solving -9 + 36b = 6 + 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. -9 + 36b + -16b = 6 + 16b + -16b Combine like terms: 36b + -16b = 20b -9 + 20b = 6 + 16b + -16b Combine like terms: 16b + -16b = 0 -9 + 20b = 6 + 0 -9 + 20b = 6 Add '9' to each side of the equation. -9 + 9 + 20b = 6 + 9 Combine like terms: -9 + 9 = 0 0 + 20b = 6 + 9 20b = 6 + 9 Combine like terms: 6 + 9 = 15 20b = 15 Divide each side by '20'. b = 0.75 Simplifying b = 0.75
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