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Simplifying -9p + (2p + -3) = 5(2p + -3) + 25 Reorder the terms: -9p + (-3 + 2p) = 5(2p + -3) + 25 Remove parenthesis around (-3 + 2p) -9p + -3 + 2p = 5(2p + -3) + 25 Reorder the terms: -3 + -9p + 2p = 5(2p + -3) + 25 Combine like terms: -9p + 2p = -7p -3 + -7p = 5(2p + -3) + 25 Reorder the terms: -3 + -7p = 5(-3 + 2p) + 25 -3 + -7p = (-3 * 5 + 2p * 5) + 25 -3 + -7p = (-15 + 10p) + 25 Reorder the terms: -3 + -7p = -15 + 25 + 10p Combine like terms: -15 + 25 = 10 -3 + -7p = 10 + 10p Solving -3 + -7p = 10 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. -3 + -7p + -10p = 10 + 10p + -10p Combine like terms: -7p + -10p = -17p -3 + -17p = 10 + 10p + -10p Combine like terms: 10p + -10p = 0 -3 + -17p = 10 + 0 -3 + -17p = 10 Add '3' to each side of the equation. -3 + 3 + -17p = 10 + 3 Combine like terms: -3 + 3 = 0 0 + -17p = 10 + 3 -17p = 10 + 3 Combine like terms: 10 + 3 = 13 -17p = 13 Divide each side by '-17'. p = -0.7647058824 Simplifying p = -0.7647058824
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