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Simplifying 5.7f + -14 = 5.4f + 10 Reorder the terms: -14 + 5.7f = 5.4f + 10 Reorder the terms: -14 + 5.7f = 10 + 5.4f Solving -14 + 5.7f = 10 + 5.4f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-5.4f' to each side of the equation. -14 + 5.7f + -5.4f = 10 + 5.4f + -5.4f Combine like terms: 5.7f + -5.4f = 0.3f -14 + 0.3f = 10 + 5.4f + -5.4f Combine like terms: 5.4f + -5.4f = 0.0 -14 + 0.3f = 10 + 0.0 -14 + 0.3f = 10 Add '14' to each side of the equation. -14 + 14 + 0.3f = 10 + 14 Combine like terms: -14 + 14 = 0 0 + 0.3f = 10 + 14 0.3f = 10 + 14 Combine like terms: 10 + 14 = 24 0.3f = 24 Divide each side by '0.3'. f = 80 Simplifying f = 80
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