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Simplifying 9p + 15 = 3(4p + -1) Reorder the terms: 15 + 9p = 3(4p + -1) Reorder the terms: 15 + 9p = 3(-1 + 4p) 15 + 9p = (-1 * 3 + 4p * 3) 15 + 9p = (-3 + 12p) Solving 15 + 9p = -3 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. 15 + 9p + -12p = -3 + 12p + -12p Combine like terms: 9p + -12p = -3p 15 + -3p = -3 + 12p + -12p Combine like terms: 12p + -12p = 0 15 + -3p = -3 + 0 15 + -3p = -3 Add '-15' to each side of the equation. 15 + -15 + -3p = -3 + -15 Combine like terms: 15 + -15 = 0 0 + -3p = -3 + -15 -3p = -3 + -15 Combine like terms: -3 + -15 = -18 -3p = -18 Divide each side by '-3'. p = 6 Simplifying p = 6
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