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Simplifying -50 = 1 + -3(1 + 4p) -50 = 1 + (1 * -3 + 4p * -3) -50 = 1 + (-3 + -12p) Combine like terms: 1 + -3 = -2 -50 = -2 + -12p Solving -50 = -2 + -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. -50 + 12p = -2 + -12p + 12p Combine like terms: -12p + 12p = 0 -50 + 12p = -2 + 0 -50 + 12p = -2 Add '50' to each side of the equation. -50 + 50 + 12p = -2 + 50 Combine like terms: -50 + 50 = 0 0 + 12p = -2 + 50 12p = -2 + 50 Combine like terms: -2 + 50 = 48 12p = 48 Divide each side by '12'. p = 4 Simplifying p = 4
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