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Simplifying 3p + -1(4 + -4p) = 3p + -24 3p + (4 * -1 + -4p * -1) = 3p + -24 3p + (-4 + 4p) = 3p + -24 Reorder the terms: -4 + 3p + 4p = 3p + -24 Combine like terms: 3p + 4p = 7p -4 + 7p = 3p + -24 Reorder the terms: -4 + 7p = -24 + 3p Solving -4 + 7p = -24 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -4 + 7p + -3p = -24 + 3p + -3p Combine like terms: 7p + -3p = 4p -4 + 4p = -24 + 3p + -3p Combine like terms: 3p + -3p = 0 -4 + 4p = -24 + 0 -4 + 4p = -24 Add '4' to each side of the equation. -4 + 4 + 4p = -24 + 4 Combine like terms: -4 + 4 = 0 0 + 4p = -24 + 4 4p = -24 + 4 Combine like terms: -24 + 4 = -20 4p = -20 Divide each side by '4'. p = -5 Simplifying p = -5
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