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Simplifying 12(5 + -1p) = 7 + -1(1 + 3p) (5 * 12 + -1p * 12) = 7 + -1(1 + 3p) (60 + -12p) = 7 + -1(1 + 3p) 60 + -12p = 7 + (1 * -1 + 3p * -1) 60 + -12p = 7 + (-1 + -3p) Combine like terms: 7 + -1 = 6 60 + -12p = 6 + -3p Solving 60 + -12p = 6 + -3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. 60 + -12p + 3p = 6 + -3p + 3p Combine like terms: -12p + 3p = -9p 60 + -9p = 6 + -3p + 3p Combine like terms: -3p + 3p = 0 60 + -9p = 6 + 0 60 + -9p = 6 Add '-60' to each side of the equation. 60 + -60 + -9p = 6 + -60 Combine like terms: 60 + -60 = 0 0 + -9p = 6 + -60 -9p = 6 + -60 Combine like terms: 6 + -60 = -54 -9p = -54 Divide each side by '-9'. p = 6 Simplifying p = 6
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