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Simplifying 8.5 + 16.46 + 6.3f = 2.82 + 13.7f Combine like terms: 8.5 + 16.46 = 24.96 24.96 + 6.3f = 2.82 + 13.7f Solving 24.96 + 6.3f = 2.82 + 13.7f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-13.7f' to each side of the equation. 24.96 + 6.3f + -13.7f = 2.82 + 13.7f + -13.7f Combine like terms: 6.3f + -13.7f = -7.4f 24.96 + -7.4f = 2.82 + 13.7f + -13.7f Combine like terms: 13.7f + -13.7f = 0.0 24.96 + -7.4f = 2.82 + 0.0 24.96 + -7.4f = 2.82 Add '-24.96' to each side of the equation. 24.96 + -24.96 + -7.4f = 2.82 + -24.96 Combine like terms: 24.96 + -24.96 = 0.00 0.00 + -7.4f = 2.82 + -24.96 -7.4f = 2.82 + -24.96 Combine like terms: 2.82 + -24.96 = -22.14 -7.4f = -22.14 Divide each side by '-7.4'. f = 2.991891892 Simplifying f = 2.991891892
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