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Simplifying 0.2 + 0.6(f + 20) = -8 + 0.4f Reorder the terms: 0.2 + 0.6(20 + f) = -8 + 0.4f 0.2 + (20 * 0.6 + f * 0.6) = -8 + 0.4f 0.2 + (12 + 0.6f) = -8 + 0.4f Combine like terms: 0.2 + 12 = 12.2 12.2 + 0.6f = -8 + 0.4f Solving 12.2 + 0.6f = -8 + 0.4f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-0.4f' to each side of the equation. 12.2 + 0.6f + -0.4f = -8 + 0.4f + -0.4f Combine like terms: 0.6f + -0.4f = 0.2f 12.2 + 0.2f = -8 + 0.4f + -0.4f Combine like terms: 0.4f + -0.4f = 0.0 12.2 + 0.2f = -8 + 0.0 12.2 + 0.2f = -8 Add '-12.2' to each side of the equation. 12.2 + -12.2 + 0.2f = -8 + -12.2 Combine like terms: 12.2 + -12.2 = 0.0 0.0 + 0.2f = -8 + -12.2 0.2f = -8 + -12.2 Combine like terms: -8 + -12.2 = -20.2 0.2f = -20.2 Divide each side by '0.2'. f = -101 Simplifying f = -101
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