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Simplifying 6p = 8(4p + 7) Reorder the terms: 6p = 8(7 + 4p) 6p = (7 * 8 + 4p * 8) 6p = (56 + 32p) Solving 6p = 56 + 32p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-32p' to each side of the equation. 6p + -32p = 56 + 32p + -32p Combine like terms: 6p + -32p = -26p -26p = 56 + 32p + -32p Combine like terms: 32p + -32p = 0 -26p = 56 + 0 -26p = 56 Divide each side by '-26'. p = -2.153846154 Simplifying p = -2.153846154
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