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Simplifying -9p + 4(2p + -3) = 5(2p + -3) + 25 Reorder the terms: -9p + 4(-3 + 2p) = 5(2p + -3) + 25 -9p + (-3 * 4 + 2p * 4) = 5(2p + -3) + 25 -9p + (-12 + 8p) = 5(2p + -3) + 25 Reorder the terms: -12 + -9p + 8p = 5(2p + -3) + 25 Combine like terms: -9p + 8p = -1p -12 + -1p = 5(2p + -3) + 25 Reorder the terms: -12 + -1p = 5(-3 + 2p) + 25 -12 + -1p = (-3 * 5 + 2p * 5) + 25 -12 + -1p = (-15 + 10p) + 25 Reorder the terms: -12 + -1p = -15 + 25 + 10p Combine like terms: -15 + 25 = 10 -12 + -1p = 10 + 10p Solving -12 + -1p = 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. -12 + -1p + -10p = 10 + 10p + -10p Combine like terms: -1p + -10p = -11p -12 + -11p = 10 + 10p + -10p Combine like terms: 10p + -10p = 0 -12 + -11p = 10 + 0 -12 + -11p = 10 Add '12' to each side of the equation. -12 + 12 + -11p = 10 + 12 Combine like terms: -12 + 12 = 0 0 + -11p = 10 + 12 -11p = 10 + 12 Combine like terms: 10 + 12 = 22 -11p = 22 Divide each side by '-11'. p = -2 Simplifying p = -2
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