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Simplifying 3(4p + -1) = -4p + 5 Reorder the terms: 3(-1 + 4p) = -4p + 5 (-1 * 3 + 4p * 3) = -4p + 5 (-3 + 12p) = -4p + 5 Reorder the terms: -3 + 12p = 5 + -4p Solving -3 + 12p = 5 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. -3 + 12p + 4p = 5 + -4p + 4p Combine like terms: 12p + 4p = 16p -3 + 16p = 5 + -4p + 4p Combine like terms: -4p + 4p = 0 -3 + 16p = 5 + 0 -3 + 16p = 5 Add '3' to each side of the equation. -3 + 3 + 16p = 5 + 3 Combine like terms: -3 + 3 = 0 0 + 16p = 5 + 3 16p = 5 + 3 Combine like terms: 5 + 3 = 8 16p = 8 Divide each side by '16'. p = 0.5 Simplifying p = 0.5
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