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Simplifying 16(f + 9) = 10f + 204 Reorder the terms: 16(9 + f) = 10f + 204 (9 * 16 + f * 16) = 10f + 204 (144 + 16f) = 10f + 204 Reorder the terms: 144 + 16f = 204 + 10f Solving 144 + 16f = 204 + 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. 144 + 16f + -10f = 204 + 10f + -10f Combine like terms: 16f + -10f = 6f 144 + 6f = 204 + 10f + -10f Combine like terms: 10f + -10f = 0 144 + 6f = 204 + 0 144 + 6f = 204 Add '-144' to each side of the equation. 144 + -144 + 6f = 204 + -144 Combine like terms: 144 + -144 = 0 0 + 6f = 204 + -144 6f = 204 + -144 Combine like terms: 204 + -144 = 60 6f = 60 Divide each side by '6'. f = 10 Simplifying f = 10
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