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Simplifying -100 = -4(1 + -3p) -100 = (1 * -4 + -3p * -4) -100 = (-4 + 12p) Solving -100 = -4 + 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. -100 + -12p = -4 + 12p + -12p Combine like terms: 12p + -12p = 0 -100 + -12p = -4 + 0 -100 + -12p = -4 Add '100' to each side of the equation. -100 + 100 + -12p = -4 + 100 Combine like terms: -100 + 100 = 0 0 + -12p = -4 + 100 -12p = -4 + 100 Combine like terms: -4 + 100 = 96 -12p = 96 Divide each side by '-12'. p = -8 Simplifying p = -8
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