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Simplifying 14f + -35 = 5f + 100 Reorder the terms: -35 + 14f = 5f + 100 Reorder the terms: -35 + 14f = 100 + 5f Solving -35 + 14f = 100 + 5f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-5f' to each side of the equation. -35 + 14f + -5f = 100 + 5f + -5f Combine like terms: 14f + -5f = 9f -35 + 9f = 100 + 5f + -5f Combine like terms: 5f + -5f = 0 -35 + 9f = 100 + 0 -35 + 9f = 100 Add '35' to each side of the equation. -35 + 35 + 9f = 100 + 35 Combine like terms: -35 + 35 = 0 0 + 9f = 100 + 35 9f = 100 + 35 Combine like terms: 100 + 35 = 135 9f = 135 Divide each side by '9'. f = 15 Simplifying f = 15
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