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Simplifying 1(p + -4) = 12(p + -9) Reorder the terms: 1(-4 + p) = 12(p + -9) (-4 * 1 + p * 1) = 12(p + -9) (-4 + 1p) = 12(p + -9) Reorder the terms: -4 + 1p = 12(-9 + p) -4 + 1p = (-9 * 12 + p * 12) -4 + 1p = (-108 + 12p) Solving -4 + 1p = -108 + 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. -4 + 1p + -12p = -108 + 12p + -12p Combine like terms: 1p + -12p = -11p -4 + -11p = -108 + 12p + -12p Combine like terms: 12p + -12p = 0 -4 + -11p = -108 + 0 -4 + -11p = -108 Add '4' to each side of the equation. -4 + 4 + -11p = -108 + 4 Combine like terms: -4 + 4 = 0 0 + -11p = -108 + 4 -11p = -108 + 4 Combine like terms: -108 + 4 = -104 -11p = -104 Divide each side by '-11'. p = 9.454545455 Simplifying p = 9.454545455
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