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Simplifying 14(13p + -7) + 12p = 678 Reorder the terms: 14(-7 + 13p) + 12p = 678 (-7 * 14 + 13p * 14) + 12p = 678 (-98 + 182p) + 12p = 678 Combine like terms: 182p + 12p = 194p -98 + 194p = 678 Solving -98 + 194p = 678 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '98' to each side of the equation. -98 + 98 + 194p = 678 + 98 Combine like terms: -98 + 98 = 0 0 + 194p = 678 + 98 194p = 678 + 98 Combine like terms: 678 + 98 = 776 194p = 776 Divide each side by '194'. p = 4 Simplifying p = 4
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