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Simplifying 7(1 + 4p) = -39 + 5p (1 * 7 + 4p * 7) = -39 + 5p (7 + 28p) = -39 + 5p Solving 7 + 28p = -39 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 7 + 28p + -5p = -39 + 5p + -5p Combine like terms: 28p + -5p = 23p 7 + 23p = -39 + 5p + -5p Combine like terms: 5p + -5p = 0 7 + 23p = -39 + 0 7 + 23p = -39 Add '-7' to each side of the equation. 7 + -7 + 23p = -39 + -7 Combine like terms: 7 + -7 = 0 0 + 23p = -39 + -7 23p = -39 + -7 Combine like terms: -39 + -7 = -46 23p = -46 Divide each side by '23'. p = -2 Simplifying p = -2
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