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Simplifying 6p = 8(5p + 7) Reorder the terms: 6p = 8(7 + 5p) 6p = (7 * 8 + 5p * 8) 6p = (56 + 40p) Solving 6p = 56 + 40p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-40p' to each side of the equation. 6p + -40p = 56 + 40p + -40p Combine like terms: 6p + -40p = -34p -34p = 56 + 40p + -40p Combine like terms: 40p + -40p = 0 -34p = 56 + 0 -34p = 56 Divide each side by '-34'. p = -1.647058824 Simplifying p = -1.647058824
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