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Simplifying 6(8 + -4p) + -2 = -39 + -7p (8 * 6 + -4p * 6) + -2 = -39 + -7p (48 + -24p) + -2 = -39 + -7p Reorder the terms: 48 + -2 + -24p = -39 + -7p Combine like terms: 48 + -2 = 46 46 + -24p = -39 + -7p Solving 46 + -24p = -39 + -7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '7p' to each side of the equation. 46 + -24p + 7p = -39 + -7p + 7p Combine like terms: -24p + 7p = -17p 46 + -17p = -39 + -7p + 7p Combine like terms: -7p + 7p = 0 46 + -17p = -39 + 0 46 + -17p = -39 Add '-46' to each side of the equation. 46 + -46 + -17p = -39 + -46 Combine like terms: 46 + -46 = 0 0 + -17p = -39 + -46 -17p = -39 + -46 Combine like terms: -39 + -46 = -85 -17p = -85 Divide each side by '-17'. p = 5 Simplifying p = 5
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