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Simplifying -107 = -7 + -4(1 + -3p) -107 = -7 + (1 * -4 + -3p * -4) -107 = -7 + (-4 + 12p) Combine like terms: -7 + -4 = -11 -107 = -11 + 12p Solving -107 = -11 + 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. -107 + -12p = -11 + 12p + -12p Combine like terms: 12p + -12p = 0 -107 + -12p = -11 + 0 -107 + -12p = -11 Add '107' to each side of the equation. -107 + 107 + -12p = -11 + 107 Combine like terms: -107 + 107 = 0 0 + -12p = -11 + 107 -12p = -11 + 107 Combine like terms: -11 + 107 = 96 -12p = 96 Divide each side by '-12'. p = -8 Simplifying p = -8
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