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Simplifying -12(1 + p) = -9(4 + p) (1 * -12 + p * -12) = -9(4 + p) (-12 + -12p) = -9(4 + p) -12 + -12p = (4 * -9 + p * -9) -12 + -12p = (-36 + -9p) Solving -12 + -12p = -36 + -9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '9p' to each side of the equation. -12 + -12p + 9p = -36 + -9p + 9p Combine like terms: -12p + 9p = -3p -12 + -3p = -36 + -9p + 9p Combine like terms: -9p + 9p = 0 -12 + -3p = -36 + 0 -12 + -3p = -36 Add '12' to each side of the equation. -12 + 12 + -3p = -36 + 12 Combine like terms: -12 + 12 = 0 0 + -3p = -36 + 12 -3p = -36 + 12 Combine like terms: -36 + 12 = -24 -3p = -24 Divide each side by '-3'. p = 8 Simplifying p = 8
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