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Simplifying 7(9f + 6) = 20.5 + 9.5f Reorder the terms: 7(6 + 9f) = 20.5 + 9.5f (6 * 7 + 9f * 7) = 20.5 + 9.5f (42 + 63f) = 20.5 + 9.5f Solving 42 + 63f = 20.5 + 9.5f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-9.5f' to each side of the equation. 42 + 63f + -9.5f = 20.5 + 9.5f + -9.5f Combine like terms: 63f + -9.5f = 53.5f 42 + 53.5f = 20.5 + 9.5f + -9.5f Combine like terms: 9.5f + -9.5f = 0.0 42 + 53.5f = 20.5 + 0.0 42 + 53.5f = 20.5 Add '-42' to each side of the equation. 42 + -42 + 53.5f = 20.5 + -42 Combine like terms: 42 + -42 = 0 0 + 53.5f = 20.5 + -42 53.5f = 20.5 + -42 Combine like terms: 20.5 + -42 = -21.5 53.5f = -21.5 Divide each side by '53.5'. f = -0.4018691589 Simplifying f = -0.4018691589
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