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Simplifying 4pm + -1p = (2m + -5)(2p + 1) Reorder the terms: 4mp + -1p = (-5 + 2m)(2p + 1) Reorder the terms: 4mp + -1p = (-5 + 2m)(1 + 2p) Multiply (-5 + 2m) * (1 + 2p) 4mp + -1p = (-5(1 + 2p) + 2m * (1 + 2p)) 4mp + -1p = ((1 * -5 + 2p * -5) + 2m * (1 + 2p)) 4mp + -1p = ((-5 + -10p) + 2m * (1 + 2p)) 4mp + -1p = (-5 + -10p + (1 * 2m + 2p * 2m)) 4mp + -1p = (-5 + -10p + (2m + 4mp)) Reorder the terms: 4mp + -1p = (-5 + 2m + 4mp + -10p) 4mp + -1p = (-5 + 2m + 4mp + -10p) Add '-4mp' to each side of the equation. 4mp + -4mp + -1p = -5 + 2m + 4mp + -4mp + -10p Combine like terms: 4mp + -4mp = 0 0 + -1p = -5 + 2m + 4mp + -4mp + -10p -1p = -5 + 2m + 4mp + -4mp + -10p Combine like terms: 4mp + -4mp = 0 -1p = -5 + 2m + 0 + -10p -1p = -5 + 2m + -10p Solving -1p = -5 + 2m + -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. -1p + 10p = -5 + 2m + -10p + 10p Combine like terms: -1p + 10p = 9p 9p = -5 + 2m + -10p + 10p Combine like terms: -10p + 10p = 0 9p = -5 + 2m + 0 9p = -5 + 2m Divide each side by '9'. p = -0.5555555556 + 0.2222222222m Simplifying p = -0.5555555556 + 0.2222222222m
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