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Simplifying 5(p + 3) = 14p Reorder the terms: 5(3 + p) = 14p (3 * 5 + p * 5) = 14p (15 + 5p) = 14p Solving 15 + 5p = 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. 15 + 5p + -14p = 14p + -14p Combine like terms: 5p + -14p = -9p 15 + -9p = 14p + -14p Combine like terms: 14p + -14p = 0 15 + -9p = 0 Add '-15' to each side of the equation. 15 + -15 + -9p = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -9p = 0 + -15 -9p = 0 + -15 Combine like terms: 0 + -15 = -15 -9p = -15 Divide each side by '-9'. p = 1.666666667 Simplifying p = 1.666666667
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