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Simplifying 3(4p + 5) + -1 = 6(8 + -7) + 3 Reorder the terms: 3(5 + 4p) + -1 = 6(8 + -7) + 3 (5 * 3 + 4p * 3) + -1 = 6(8 + -7) + 3 (15 + 12p) + -1 = 6(8 + -7) + 3 Reorder the terms: 15 + -1 + 12p = 6(8 + -7) + 3 Combine like terms: 15 + -1 = 14 14 + 12p = 6(8 + -7) + 3 Combine like terms: 8 + -7 = 1 14 + 12p = 6(1) + 3 Multiply 6 * 1 14 + 12p = 6 + 3 Combine like terms: 6 + 3 = 9 14 + 12p = 9 Solving 14 + 12p = 9 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 12p = 9 + -14 Combine like terms: 14 + -14 = 0 0 + 12p = 9 + -14 12p = 9 + -14 Combine like terms: 9 + -14 = -5 12p = -5 Divide each side by '12'. p = -0.4166666667 Simplifying p = -0.4166666667
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