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Simplifying 4(3p + 9) + -5 = 3(12p + -5) Reorder the terms: 4(9 + 3p) + -5 = 3(12p + -5) (9 * 4 + 3p * 4) + -5 = 3(12p + -5) (36 + 12p) + -5 = 3(12p + -5) Reorder the terms: 36 + -5 + 12p = 3(12p + -5) Combine like terms: 36 + -5 = 31 31 + 12p = 3(12p + -5) Reorder the terms: 31 + 12p = 3(-5 + 12p) 31 + 12p = (-5 * 3 + 12p * 3) 31 + 12p = (-15 + 36p) Solving 31 + 12p = -15 + 36p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-36p' to each side of the equation. 31 + 12p + -36p = -15 + 36p + -36p Combine like terms: 12p + -36p = -24p 31 + -24p = -15 + 36p + -36p Combine like terms: 36p + -36p = 0 31 + -24p = -15 + 0 31 + -24p = -15 Add '-31' to each side of the equation. 31 + -31 + -24p = -15 + -31 Combine like terms: 31 + -31 = 0 0 + -24p = -15 + -31 -24p = -15 + -31 Combine like terms: -15 + -31 = -46 -24p = -46 Divide each side by '-24'. p = 1.916666667 Simplifying p = 1.916666667
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