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Simplifying 12(p + -5) = 9(p + -4) Reorder the terms: 12(-5 + p) = 9(p + -4) (-5 * 12 + p * 12) = 9(p + -4) (-60 + 12p) = 9(p + -4) Reorder the terms: -60 + 12p = 9(-4 + p) -60 + 12p = (-4 * 9 + p * 9) -60 + 12p = (-36 + 9p) Solving -60 + 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. -60 + 12p + -9p = -36 + 9p + -9p Combine like terms: 12p + -9p = 3p -60 + 3p = -36 + 9p + -9p Combine like terms: 9p + -9p = 0 -60 + 3p = -36 + 0 -60 + 3p = -36 Add '60' to each side of the equation. -60 + 60 + 3p = -36 + 60 Combine like terms: -60 + 60 = 0 0 + 3p = -36 + 60 3p = -36 + 60 Combine like terms: -36 + 60 = 24 3p = 24 Divide each side by '3'. p = 8 Simplifying p = 8
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