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Simplifying -7 + -3(3p + -7) = -1(12p + -8) Reorder the terms: -7 + -3(-7 + 3p) = -1(12p + -8) -7 + (-7 * -3 + 3p * -3) = -1(12p + -8) -7 + (21 + -9p) = -1(12p + -8) Combine like terms: -7 + 21 = 14 14 + -9p = -1(12p + -8) Reorder the terms: 14 + -9p = -1(-8 + 12p) 14 + -9p = (-8 * -1 + 12p * -1) 14 + -9p = (8 + -12p) Solving 14 + -9p = 8 + -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. 14 + -9p + 12p = 8 + -12p + 12p Combine like terms: -9p + 12p = 3p 14 + 3p = 8 + -12p + 12p Combine like terms: -12p + 12p = 0 14 + 3p = 8 + 0 14 + 3p = 8 Add '-14' to each side of the equation. 14 + -14 + 3p = 8 + -14 Combine like terms: 14 + -14 = 0 0 + 3p = 8 + -14 3p = 8 + -14 Combine like terms: 8 + -14 = -6 3p = -6 Divide each side by '3'. p = -2 Simplifying p = -2
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