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Simplifying 5(6p + -1) = 39 + 8p Reorder the terms: 5(-1 + 6p) = 39 + 8p (-1 * 5 + 6p * 5) = 39 + 8p (-5 + 30p) = 39 + 8p Solving -5 + 30p = 39 + 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. -5 + 30p + -8p = 39 + 8p + -8p Combine like terms: 30p + -8p = 22p -5 + 22p = 39 + 8p + -8p Combine like terms: 8p + -8p = 0 -5 + 22p = 39 + 0 -5 + 22p = 39 Add '5' to each side of the equation. -5 + 5 + 22p = 39 + 5 Combine like terms: -5 + 5 = 0 0 + 22p = 39 + 5 22p = 39 + 5 Combine like terms: 39 + 5 = 44 22p = 44 Divide each side by '22'. p = 2 Simplifying p = 2
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