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Simplifying -6(2p + 4) + -36 = 4(3p + 3) Reorder the terms: -6(4 + 2p) + -36 = 4(3p + 3) (4 * -6 + 2p * -6) + -36 = 4(3p + 3) (-24 + -12p) + -36 = 4(3p + 3) Reorder the terms: -24 + -36 + -12p = 4(3p + 3) Combine like terms: -24 + -36 = -60 -60 + -12p = 4(3p + 3) Reorder the terms: -60 + -12p = 4(3 + 3p) -60 + -12p = (3 * 4 + 3p * 4) -60 + -12p = (12 + 12p) Solving -60 + -12p = 12 + 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. -60 + -12p + -12p = 12 + 12p + -12p Combine like terms: -12p + -12p = -24p -60 + -24p = 12 + 12p + -12p Combine like terms: 12p + -12p = 0 -60 + -24p = 12 + 0 -60 + -24p = 12 Add '60' to each side of the equation. -60 + 60 + -24p = 12 + 60 Combine like terms: -60 + 60 = 0 0 + -24p = 12 + 60 -24p = 12 + 60 Combine like terms: 12 + 60 = 72 -24p = 72 Divide each side by '-24'. p = -3 Simplifying p = -3
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