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Simplifying 5(2p + -1) = 3p + 9 Reorder the terms: 5(-1 + 2p) = 3p + 9 (-1 * 5 + 2p * 5) = 3p + 9 (-5 + 10p) = 3p + 9 Reorder the terms: -5 + 10p = 9 + 3p Solving -5 + 10p = 9 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -5 + 10p + -3p = 9 + 3p + -3p Combine like terms: 10p + -3p = 7p -5 + 7p = 9 + 3p + -3p Combine like terms: 3p + -3p = 0 -5 + 7p = 9 + 0 -5 + 7p = 9 Add '5' to each side of the equation. -5 + 5 + 7p = 9 + 5 Combine like terms: -5 + 5 = 0 0 + 7p = 9 + 5 7p = 9 + 5 Combine like terms: 9 + 5 = 14 7p = 14 Divide each side by '7'. p = 2 Simplifying p = 2
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