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Simplifying -6(2p + 4) + -24 = 4(4p + 2) Reorder the terms: -6(4 + 2p) + -24 = 4(4p + 2) (4 * -6 + 2p * -6) + -24 = 4(4p + 2) (-24 + -12p) + -24 = 4(4p + 2) Reorder the terms: -24 + -24 + -12p = 4(4p + 2) Combine like terms: -24 + -24 = -48 -48 + -12p = 4(4p + 2) Reorder the terms: -48 + -12p = 4(2 + 4p) -48 + -12p = (2 * 4 + 4p * 4) -48 + -12p = (8 + 16p) Solving -48 + -12p = 8 + 16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-16p' to each side of the equation. -48 + -12p + -16p = 8 + 16p + -16p Combine like terms: -12p + -16p = -28p -48 + -28p = 8 + 16p + -16p Combine like terms: 16p + -16p = 0 -48 + -28p = 8 + 0 -48 + -28p = 8 Add '48' to each side of the equation. -48 + 48 + -28p = 8 + 48 Combine like terms: -48 + 48 = 0 0 + -28p = 8 + 48 -28p = 8 + 48 Combine like terms: 8 + 48 = 56 -28p = 56 Divide each side by '-28'. p = -2 Simplifying p = -2
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