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Simplifying 0.2f + 0.6(f + 20) = -8 + 0.4t Reorder the terms: 0.2f + 0.6(20 + f) = -8 + 0.4t 0.2f + (20 * 0.6 + f * 0.6) = -8 + 0.4t 0.2f + (12 + 0.6f) = -8 + 0.4t Reorder the terms: 12 + 0.2f + 0.6f = -8 + 0.4t Combine like terms: 0.2f + 0.6f = 0.8f 12 + 0.8f = -8 + 0.4t Solving 12 + 0.8f = -8 + 0.4t Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 0.8f = -8 + -12 + 0.4t Combine like terms: 12 + -12 = 0 0 + 0.8f = -8 + -12 + 0.4t 0.8f = -8 + -12 + 0.4t Combine like terms: -8 + -12 = -20 0.8f = -20 + 0.4t Divide each side by '0.8'. f = -25 + 0.5t Simplifying f = -25 + 0.5t
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