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Simplifying -6(2p + 2) + -48 = 4(4p + 6) Reorder the terms: -6(2 + 2p) + -48 = 4(4p + 6) (2 * -6 + 2p * -6) + -48 = 4(4p + 6) (-12 + -12p) + -48 = 4(4p + 6) Reorder the terms: -12 + -48 + -12p = 4(4p + 6) Combine like terms: -12 + -48 = -60 -60 + -12p = 4(4p + 6) Reorder the terms: -60 + -12p = 4(6 + 4p) -60 + -12p = (6 * 4 + 4p * 4) -60 + -12p = (24 + 16p) Solving -60 + -12p = 24 + 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. -60 + -12p + -16p = 24 + 16p + -16p Combine like terms: -12p + -16p = -28p -60 + -28p = 24 + 16p + -16p Combine like terms: 16p + -16p = 0 -60 + -28p = 24 + 0 -60 + -28p = 24 Add '60' to each side of the equation. -60 + 60 + -28p = 24 + 60 Combine like terms: -60 + 60 = 0 0 + -28p = 24 + 60 -28p = 24 + 60 Combine like terms: 24 + 60 = 84 -28p = 84 Divide each side by '-28'. p = -3 Simplifying p = -3
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