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Simplifying p(4b + -1) = 2(9b + 3) Reorder the terms: p(-1 + 4b) = 2(9b + 3) (-1 * p + 4b * p) = 2(9b + 3) Reorder the terms: (4bp + -1p) = 2(9b + 3) (4bp + -1p) = 2(9b + 3) Reorder the terms: 4bp + -1p = 2(3 + 9b) 4bp + -1p = (3 * 2 + 9b * 2) 4bp + -1p = (6 + 18b) Solving 4bp + -1p = 6 + 18b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-18b' to each side of the equation. 4bp + -18b + -1p = 6 + 18b + -18b Reorder the terms: -18b + 4bp + -1p = 6 + 18b + -18b Combine like terms: 18b + -18b = 0 -18b + 4bp + -1p = 6 + 0 -18b + 4bp + -1p = 6 Add 'p' to each side of the equation. -18b + 4bp + -1p + p = 6 + p Combine like terms: -1p + p = 0 -18b + 4bp + 0 = 6 + p -18b + 4bp = 6 + p Reorder the terms: -6 + -18b + 4bp + -1p = 6 + p + -6 + -1p Reorder the terms: -6 + -18b + 4bp + -1p = 6 + -6 + p + -1p Combine like terms: 6 + -6 = 0 -6 + -18b + 4bp + -1p = 0 + p + -1p -6 + -18b + 4bp + -1p = p + -1p Combine like terms: p + -1p = 0 -6 + -18b + 4bp + -1p = 0 The solution to this equation could not be determined.
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