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Simplifying -5(7p + 2) = 4p + 9 Reorder the terms: -5(2 + 7p) = 4p + 9 (2 * -5 + 7p * -5) = 4p + 9 (-10 + -35p) = 4p + 9 Reorder the terms: -10 + -35p = 9 + 4p Solving -10 + -35p = 9 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -10 + -35p + -4p = 9 + 4p + -4p Combine like terms: -35p + -4p = -39p -10 + -39p = 9 + 4p + -4p Combine like terms: 4p + -4p = 0 -10 + -39p = 9 + 0 -10 + -39p = 9 Add '10' to each side of the equation. -10 + 10 + -39p = 9 + 10 Combine like terms: -10 + 10 = 0 0 + -39p = 9 + 10 -39p = 9 + 10 Combine like terms: 9 + 10 = 19 -39p = 19 Divide each side by '-39'. p = -0.4871794872 Simplifying p = -0.4871794872
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