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Simplifying 7.9f + -3.65 = 8.7f + 11.15 Reorder the terms: -3.65 + 7.9f = 8.7f + 11.15 Reorder the terms: -3.65 + 7.9f = 11.15 + 8.7f Solving -3.65 + 7.9f = 11.15 + 8.7f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-8.7f' to each side of the equation. -3.65 + 7.9f + -8.7f = 11.15 + 8.7f + -8.7f Combine like terms: 7.9f + -8.7f = -0.8f -3.65 + -0.8f = 11.15 + 8.7f + -8.7f Combine like terms: 8.7f + -8.7f = 0.0 -3.65 + -0.8f = 11.15 + 0.0 -3.65 + -0.8f = 11.15 Add '3.65' to each side of the equation. -3.65 + 3.65 + -0.8f = 11.15 + 3.65 Combine like terms: -3.65 + 3.65 = 0.00 0.00 + -0.8f = 11.15 + 3.65 -0.8f = 11.15 + 3.65 Combine like terms: 11.15 + 3.65 = 14.8 -0.8f = 14.8 Divide each side by '-0.8'. f = -18.5 Simplifying f = -18.5
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