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Simplifying 42f + -100 = 27f + -25 Reorder the terms: -100 + 42f = 27f + -25 Reorder the terms: -100 + 42f = -25 + 27f Solving -100 + 42f = -25 + 27f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-27f' to each side of the equation. -100 + 42f + -27f = -25 + 27f + -27f Combine like terms: 42f + -27f = 15f -100 + 15f = -25 + 27f + -27f Combine like terms: 27f + -27f = 0 -100 + 15f = -25 + 0 -100 + 15f = -25 Add '100' to each side of the equation. -100 + 100 + 15f = -25 + 100 Combine like terms: -100 + 100 = 0 0 + 15f = -25 + 100 15f = -25 + 100 Combine like terms: -25 + 100 = 75 15f = 75 Divide each side by '15'. f = 5 Simplifying f = 5
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