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Simplifying 12(p + 9) + -7 = -4p + 1 Reorder the terms: 12(9 + p) + -7 = -4p + 1 (9 * 12 + p * 12) + -7 = -4p + 1 (108 + 12p) + -7 = -4p + 1 Reorder the terms: 108 + -7 + 12p = -4p + 1 Combine like terms: 108 + -7 = 101 101 + 12p = -4p + 1 Reorder the terms: 101 + 12p = 1 + -4p Solving 101 + 12p = 1 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. 101 + 12p + 4p = 1 + -4p + 4p Combine like terms: 12p + 4p = 16p 101 + 16p = 1 + -4p + 4p Combine like terms: -4p + 4p = 0 101 + 16p = 1 + 0 101 + 16p = 1 Add '-101' to each side of the equation. 101 + -101 + 16p = 1 + -101 Combine like terms: 101 + -101 = 0 0 + 16p = 1 + -101 16p = 1 + -101 Combine like terms: 1 + -101 = -100 16p = -100 Divide each side by '16'. p = -6.25 Simplifying p = -6.25
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