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Simplifying 3 + -4(3p + 2) = 7 + -1(9p + -1) Reorder the terms: 3 + -4(2 + 3p) = 7 + -1(9p + -1) 3 + (2 * -4 + 3p * -4) = 7 + -1(9p + -1) 3 + (-8 + -12p) = 7 + -1(9p + -1) Combine like terms: 3 + -8 = -5 -5 + -12p = 7 + -1(9p + -1) Reorder the terms: -5 + -12p = 7 + -1(-1 + 9p) -5 + -12p = 7 + (-1 * -1 + 9p * -1) -5 + -12p = 7 + (1 + -9p) Combine like terms: 7 + 1 = 8 -5 + -12p = 8 + -9p Solving -5 + -12p = 8 + -9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '9p' to each side of the equation. -5 + -12p + 9p = 8 + -9p + 9p Combine like terms: -12p + 9p = -3p -5 + -3p = 8 + -9p + 9p Combine like terms: -9p + 9p = 0 -5 + -3p = 8 + 0 -5 + -3p = 8 Add '5' to each side of the equation. -5 + 5 + -3p = 8 + 5 Combine like terms: -5 + 5 = 0 0 + -3p = 8 + 5 -3p = 8 + 5 Combine like terms: 8 + 5 = 13 -3p = 13 Divide each side by '-3'. p = -4.333333333 Simplifying p = -4.333333333
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