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Simplifying 9(-4 + -1p) = 3(-4p + -8) (-4 * 9 + -1p * 9) = 3(-4p + -8) (-36 + -9p) = 3(-4p + -8) Reorder the terms: -36 + -9p = 3(-8 + -4p) -36 + -9p = (-8 * 3 + -4p * 3) -36 + -9p = (-24 + -12p) Solving -36 + -9p = -24 + -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. -36 + -9p + 12p = -24 + -12p + 12p Combine like terms: -9p + 12p = 3p -36 + 3p = -24 + -12p + 12p Combine like terms: -12p + 12p = 0 -36 + 3p = -24 + 0 -36 + 3p = -24 Add '36' to each side of the equation. -36 + 36 + 3p = -24 + 36 Combine like terms: -36 + 36 = 0 0 + 3p = -24 + 36 3p = -24 + 36 Combine like terms: -24 + 36 = 12 3p = 12 Divide each side by '3'. p = 4 Simplifying p = 4
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