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Simplifying 2(10f + 9) = 5(2f + 1) Reorder the terms: 2(9 + 10f) = 5(2f + 1) (9 * 2 + 10f * 2) = 5(2f + 1) (18 + 20f) = 5(2f + 1) Reorder the terms: 18 + 20f = 5(1 + 2f) 18 + 20f = (1 * 5 + 2f * 5) 18 + 20f = (5 + 10f) Solving 18 + 20f = 5 + 10f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-10f' to each side of the equation. 18 + 20f + -10f = 5 + 10f + -10f Combine like terms: 20f + -10f = 10f 18 + 10f = 5 + 10f + -10f Combine like terms: 10f + -10f = 0 18 + 10f = 5 + 0 18 + 10f = 5 Add '-18' to each side of the equation. 18 + -18 + 10f = 5 + -18 Combine like terms: 18 + -18 = 0 0 + 10f = 5 + -18 10f = 5 + -18 Combine like terms: 5 + -18 = -13 10f = -13 Divide each side by '10'. f = -1.3 Simplifying f = -1.3
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