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Simplifying 0.27 + 0.6(f + 20) = -8 + 0.47 Reorder the terms: 0.27 + 0.6(20 + f) = -8 + 0.47 0.27 + (20 * 0.6 + f * 0.6) = -8 + 0.47 0.27 + (12 + 0.6f) = -8 + 0.47 Combine like terms: 0.27 + 12 = 12.27 12.27 + 0.6f = -8 + 0.47 Combine like terms: -8 + 0.47 = -7.53 12.27 + 0.6f = -7.53 Solving 12.27 + 0.6f = -7.53 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-12.27' to each side of the equation. 12.27 + -12.27 + 0.6f = -7.53 + -12.27 Combine like terms: 12.27 + -12.27 = 0.00 0.00 + 0.6f = -7.53 + -12.27 0.6f = -7.53 + -12.27 Combine like terms: -7.53 + -12.27 = -19.8 0.6f = -19.8 Divide each side by '0.6'. f = -33 Simplifying f = -33
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