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Simplifying 5(2f + -4(p + 5)) = 25 Reorder the terms: 5(2f + -4(5 + p)) = 25 5(2f + (5 * -4 + p * -4)) = 25 5(2f + (-20 + -4p)) = 25 Reorder the terms: 5(-20 + 2f + -4p) = 25 (-20 * 5 + 2f * 5 + -4p * 5) = 25 (-100 + 10f + -20p) = 25 Solving -100 + 10f + -20p = 25 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '100' to each side of the equation. -100 + 10f + 100 + -20p = 25 + 100 Reorder the terms: -100 + 100 + 10f + -20p = 25 + 100 Combine like terms: -100 + 100 = 0 0 + 10f + -20p = 25 + 100 10f + -20p = 25 + 100 Combine like terms: 25 + 100 = 125 10f + -20p = 125 Add '20p' to each side of the equation. 10f + -20p + 20p = 125 + 20p Combine like terms: -20p + 20p = 0 10f + 0 = 125 + 20p 10f = 125 + 20p Divide each side by '10'. f = 12.5 + 2p Simplifying f = 12.5 + 2p
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