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Simplifying 8.5(f + 2) = 8.3f + 19 Reorder the terms: 8.5(2 + f) = 8.3f + 19 (2 * 8.5 + f * 8.5) = 8.3f + 19 (17 + 8.5f) = 8.3f + 19 Reorder the terms: 17 + 8.5f = 19 + 8.3f Solving 17 + 8.5f = 19 + 8.3f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-8.3f' to each side of the equation. 17 + 8.5f + -8.3f = 19 + 8.3f + -8.3f Combine like terms: 8.5f + -8.3f = 0.2f 17 + 0.2f = 19 + 8.3f + -8.3f Combine like terms: 8.3f + -8.3f = 0.0 17 + 0.2f = 19 + 0.0 17 + 0.2f = 19 Add '-17' to each side of the equation. 17 + -17 + 0.2f = 19 + -17 Combine like terms: 17 + -17 = 0 0 + 0.2f = 19 + -17 0.2f = 19 + -17 Combine like terms: 19 + -17 = 2 0.2f = 2 Divide each side by '0.2'. f = 10 Simplifying f = 10
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