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Simplifying 3(9p + 5) = 8(6p + 3) Reorder the terms: 3(5 + 9p) = 8(6p + 3) (5 * 3 + 9p * 3) = 8(6p + 3) (15 + 27p) = 8(6p + 3) Reorder the terms: 15 + 27p = 8(3 + 6p) 15 + 27p = (3 * 8 + 6p * 8) 15 + 27p = (24 + 48p) Solving 15 + 27p = 24 + 48p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-48p' to each side of the equation. 15 + 27p + -48p = 24 + 48p + -48p Combine like terms: 27p + -48p = -21p 15 + -21p = 24 + 48p + -48p Combine like terms: 48p + -48p = 0 15 + -21p = 24 + 0 15 + -21p = 24 Add '-15' to each side of the equation. 15 + -15 + -21p = 24 + -15 Combine like terms: 15 + -15 = 0 0 + -21p = 24 + -15 -21p = 24 + -15 Combine like terms: 24 + -15 = 9 -21p = 9 Divide each side by '-21'. p = -0.4285714286 Simplifying p = -0.4285714286
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