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Simplifying -7.4 + 6.7f = 8.2f + 9.25 Reorder the terms: -7.4 + 6.7f = 9.25 + 8.2f Solving -7.4 + 6.7f = 9.25 + 8.2f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-8.2f' to each side of the equation. -7.4 + 6.7f + -8.2f = 9.25 + 8.2f + -8.2f Combine like terms: 6.7f + -8.2f = -1.5f -7.4 + -1.5f = 9.25 + 8.2f + -8.2f Combine like terms: 8.2f + -8.2f = 0.0 -7.4 + -1.5f = 9.25 + 0.0 -7.4 + -1.5f = 9.25 Add '7.4' to each side of the equation. -7.4 + 7.4 + -1.5f = 9.25 + 7.4 Combine like terms: -7.4 + 7.4 = 0.0 0.0 + -1.5f = 9.25 + 7.4 -1.5f = 9.25 + 7.4 Combine like terms: 9.25 + 7.4 = 16.65 -1.5f = 16.65 Divide each side by '-1.5'. f = -11.1 Simplifying f = -11.1
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