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Simplifying 5(p + 30) = 8p Reorder the terms: 5(30 + p) = 8p (30 * 5 + p * 5) = 8p (150 + 5p) = 8p Solving 150 + 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. 150 + 5p + -8p = 8p + -8p Combine like terms: 5p + -8p = -3p 150 + -3p = 8p + -8p Combine like terms: 8p + -8p = 0 150 + -3p = 0 Add '-150' to each side of the equation. 150 + -150 + -3p = 0 + -150 Combine like terms: 150 + -150 = 0 0 + -3p = 0 + -150 -3p = 0 + -150 Combine like terms: 0 + -150 = -150 -3p = -150 Divide each side by '-3'. p = 50 Simplifying p = 50
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