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Simplifying 5 + 7(7p + -1) = 292 Reorder the terms: 5 + 7(-1 + 7p) = 292 5 + (-1 * 7 + 7p * 7) = 292 5 + (-7 + 49p) = 292 Combine like terms: 5 + -7 = -2 -2 + 49p = 292 Solving -2 + 49p = 292 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 49p = 292 + 2 Combine like terms: -2 + 2 = 0 0 + 49p = 292 + 2 49p = 292 + 2 Combine like terms: 292 + 2 = 294 49p = 294 Divide each side by '49'. p = 6 Simplifying p = 6
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