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Simplifying 4(-6 + -9p) = 12(p + 10) (-6 * 4 + -9p * 4) = 12(p + 10) (-24 + -36p) = 12(p + 10) Reorder the terms: -24 + -36p = 12(10 + p) -24 + -36p = (10 * 12 + p * 12) -24 + -36p = (120 + 12p) Solving -24 + -36p = 120 + 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. -24 + -36p + -12p = 120 + 12p + -12p Combine like terms: -36p + -12p = -48p -24 + -48p = 120 + 12p + -12p Combine like terms: 12p + -12p = 0 -24 + -48p = 120 + 0 -24 + -48p = 120 Add '24' to each side of the equation. -24 + 24 + -48p = 120 + 24 Combine like terms: -24 + 24 = 0 0 + -48p = 120 + 24 -48p = 120 + 24 Combine like terms: 120 + 24 = 144 -48p = 144 Divide each side by '-48'. p = -3 Simplifying p = -3
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