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Simplifying 0.2f + 0.6(f + 20) = -0.8 + 0.4f Reorder the terms: 0.2f + 0.6(20 + f) = -0.8 + 0.4f 0.2f + (20 * 0.6 + f * 0.6) = -0.8 + 0.4f 0.2f + (12 + 0.6f) = -0.8 + 0.4f Reorder the terms: 12 + 0.2f + 0.6f = -0.8 + 0.4f Combine like terms: 0.2f + 0.6f = 0.8f 12 + 0.8f = -0.8 + 0.4f Solving 12 + 0.8f = -0.8 + 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 + 0.8f + -0.4f = -0.8 + 0.4f + -0.4f Combine like terms: 0.8f + -0.4f = 0.4f 12 + 0.4f = -0.8 + 0.4f + -0.4f Combine like terms: 0.4f + -0.4f = 0.0 12 + 0.4f = -0.8 + 0.0 12 + 0.4f = -0.8 Add '-12' to each side of the equation. 12 + -12 + 0.4f = -0.8 + -12 Combine like terms: 12 + -12 = 0 0 + 0.4f = -0.8 + -12 0.4f = -0.8 + -12 Combine like terms: -0.8 + -12 = -12.8 0.4f = -12.8 Divide each side by '0.4'. f = -32 Simplifying f = -32
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