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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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