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Simplifying 0.25(12 + -8p) = 4p + -9 (12 * 0.25 + -8p * 0.25) = 4p + -9 (3 + -2p) = 4p + -9 Reorder the terms: 3 + -2p = -9 + 4p Solving 3 + -2p = -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. 3 + -2p + -4p = -9 + 4p + -4p Combine like terms: -2p + -4p = -6p 3 + -6p = -9 + 4p + -4p Combine like terms: 4p + -4p = 0 3 + -6p = -9 + 0 3 + -6p = -9 Add '-3' to each side of the equation. 3 + -3 + -6p = -9 + -3 Combine like terms: 3 + -3 = 0 0 + -6p = -9 + -3 -6p = -9 + -3 Combine like terms: -9 + -3 = -12 -6p = -12 Divide each side by '-6'. p = 2 Simplifying p = 2
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