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Simplifying 48 = 4(3p + -2) + -4(-2 + -3p) Reorder the terms: 48 = 4(-2 + 3p) + -4(-2 + -3p) 48 = (-2 * 4 + 3p * 4) + -4(-2 + -3p) 48 = (-8 + 12p) + -4(-2 + -3p) 48 = -8 + 12p + (-2 * -4 + -3p * -4) 48 = -8 + 12p + (8 + 12p) Reorder the terms: 48 = -8 + 8 + 12p + 12p Combine like terms: -8 + 8 = 0 48 = 0 + 12p + 12p 48 = 12p + 12p Combine like terms: 12p + 12p = 24p 48 = 24p Solving 48 = 24p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24p' to each side of the equation. 48 + -24p = 24p + -24p Combine like terms: 24p + -24p = 0 48 + -24p = 0 Add '-48' to each side of the equation. 48 + -48 + -24p = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -24p = 0 + -48 -24p = 0 + -48 Combine like terms: 0 + -48 = -48 -24p = -48 Divide each side by '-24'. p = 2 Simplifying p = 2
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