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Simplifying 5(p + 6) = 8p Reorder the terms: 5(6 + p) = 8p (6 * 5 + p * 5) = 8p (30 + 5p) = 8p Solving 30 + 5p = 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. 30 + 5p + -8p = 8p + -8p Combine like terms: 5p + -8p = -3p 30 + -3p = 8p + -8p Combine like terms: 8p + -8p = 0 30 + -3p = 0 Add '-30' to each side of the equation. 30 + -30 + -3p = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -3p = 0 + -30 -3p = 0 + -30 Combine like terms: 0 + -30 = -30 -3p = -30 Divide each side by '-3'. p = 10 Simplifying p = 10
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