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Simplifying 8(p + 5) = 14p Reorder the terms: 8(5 + p) = 14p (5 * 8 + p * 8) = 14p (40 + 8p) = 14p Solving 40 + 8p = 14p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-14p' to each side of the equation. 40 + 8p + -14p = 14p + -14p Combine like terms: 8p + -14p = -6p 40 + -6p = 14p + -14p Combine like terms: 14p + -14p = 0 40 + -6p = 0 Add '-40' to each side of the equation. 40 + -40 + -6p = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -6p = 0 + -40 -6p = 0 + -40 Combine like terms: 0 + -40 = -40 -6p = -40 Divide each side by '-6'. p = 6.666666667 Simplifying p = 6.666666667
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