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Simplifying 9(4b + -1) = 2(19b + 3) Reorder the terms: 9(-1 + 4b) = 2(19b + 3) (-1 * 9 + 4b * 9) = 2(19b + 3) (-9 + 36b) = 2(19b + 3) Reorder the terms: -9 + 36b = 2(3 + 19b) -9 + 36b = (3 * 2 + 19b * 2) -9 + 36b = (6 + 38b) Solving -9 + 36b = 6 + 38b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-38b' to each side of the equation. -9 + 36b + -38b = 6 + 38b + -38b Combine like terms: 36b + -38b = -2b -9 + -2b = 6 + 38b + -38b Combine like terms: 38b + -38b = 0 -9 + -2b = 6 + 0 -9 + -2b = 6 Add '9' to each side of the equation. -9 + 9 + -2b = 6 + 9 Combine like terms: -9 + 9 = 0 0 + -2b = 6 + 9 -2b = 6 + 9 Combine like terms: 6 + 9 = 15 -2b = 15 Divide each side by '-2'. b = -7.5 Simplifying b = -7.5
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