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Simplifying 34f + -85 = 19f + 20 Reorder the terms: -85 + 34f = 19f + 20 Reorder the terms: -85 + 34f = 20 + 19f Solving -85 + 34f = 20 + 19f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-19f' to each side of the equation. -85 + 34f + -19f = 20 + 19f + -19f Combine like terms: 34f + -19f = 15f -85 + 15f = 20 + 19f + -19f Combine like terms: 19f + -19f = 0 -85 + 15f = 20 + 0 -85 + 15f = 20 Add '85' to each side of the equation. -85 + 85 + 15f = 20 + 85 Combine like terms: -85 + 85 = 0 0 + 15f = 20 + 85 15f = 20 + 85 Combine like terms: 20 + 85 = 105 15f = 105 Divide each side by '15'. f = 7 Simplifying f = 7
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