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Simplifying -3(8 + -4p) = -15 + 3p (8 * -3 + -4p * -3) = -15 + 3p (-24 + 12p) = -15 + 3p Solving -24 + 12p = -15 + 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. -24 + 12p + -3p = -15 + 3p + -3p Combine like terms: 12p + -3p = 9p -24 + 9p = -15 + 3p + -3p Combine like terms: 3p + -3p = 0 -24 + 9p = -15 + 0 -24 + 9p = -15 Add '24' to each side of the equation. -24 + 24 + 9p = -15 + 24 Combine like terms: -24 + 24 = 0 0 + 9p = -15 + 24 9p = -15 + 24 Combine like terms: -15 + 24 = 9 9p = 9 Divide each side by '9'. p = 1 Simplifying p = 1
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