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Simplifying -6(4p + 4) + -28 = 4(3p + 5) Reorder the terms: -6(4 + 4p) + -28 = 4(3p + 5) (4 * -6 + 4p * -6) + -28 = 4(3p + 5) (-24 + -24p) + -28 = 4(3p + 5) Reorder the terms: -24 + -28 + -24p = 4(3p + 5) Combine like terms: -24 + -28 = -52 -52 + -24p = 4(3p + 5) Reorder the terms: -52 + -24p = 4(5 + 3p) -52 + -24p = (5 * 4 + 3p * 4) -52 + -24p = (20 + 12p) Solving -52 + -24p = 20 + 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. -52 + -24p + -12p = 20 + 12p + -12p Combine like terms: -24p + -12p = -36p -52 + -36p = 20 + 12p + -12p Combine like terms: 12p + -12p = 0 -52 + -36p = 20 + 0 -52 + -36p = 20 Add '52' to each side of the equation. -52 + 52 + -36p = 20 + 52 Combine like terms: -52 + 52 = 0 0 + -36p = 20 + 52 -36p = 20 + 52 Combine like terms: 20 + 52 = 72 -36p = 72 Divide each side by '-36'. p = -2 Simplifying p = -2
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