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Simplifying -6(2p + 2) + -24 = 4(3p + 3) Reorder the terms: -6(2 + 2p) + -24 = 4(3p + 3) (2 * -6 + 2p * -6) + -24 = 4(3p + 3) (-12 + -12p) + -24 = 4(3p + 3) Reorder the terms: -12 + -24 + -12p = 4(3p + 3) Combine like terms: -12 + -24 = -36 -36 + -12p = 4(3p + 3) Reorder the terms: -36 + -12p = 4(3 + 3p) -36 + -12p = (3 * 4 + 3p * 4) -36 + -12p = (12 + 12p) Solving -36 + -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. -36 + -12p + -12p = 12 + 12p + -12p Combine like terms: -12p + -12p = -24p -36 + -24p = 12 + 12p + -12p Combine like terms: 12p + -12p = 0 -36 + -24p = 12 + 0 -36 + -24p = 12 Add '36' to each side of the equation. -36 + 36 + -24p = 12 + 36 Combine like terms: -36 + 36 = 0 0 + -24p = 12 + 36 -24p = 12 + 36 Combine like terms: 12 + 36 = 48 -24p = 48 Divide each side by '-24'. p = -2 Simplifying p = -2
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