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