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Simplifying 6(2p + 4) = 4(4p + -1) Reorder the terms: 6(4 + 2p) = 4(4p + -1) (4 * 6 + 2p * 6) = 4(4p + -1) (24 + 12p) = 4(4p + -1) Reorder the terms: 24 + 12p = 4(-1 + 4p) 24 + 12p = (-1 * 4 + 4p * 4) 24 + 12p = (-4 + 16p) Solving 24 + 12p = -4 + 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. 24 + 12p + -16p = -4 + 16p + -16p Combine like terms: 12p + -16p = -4p 24 + -4p = -4 + 16p + -16p Combine like terms: 16p + -16p = 0 24 + -4p = -4 + 0 24 + -4p = -4 Add '-24' to each side of the equation. 24 + -24 + -4p = -4 + -24 Combine like terms: 24 + -24 = 0 0 + -4p = -4 + -24 -4p = -4 + -24 Combine like terms: -4 + -24 = -28 -4p = -28 Divide each side by '-4'. p = 7 Simplifying p = 7
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