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Simplifying 0.4(f + 8) = 12 Reorder the terms: 0.4(8 + f) = 12 (8 * 0.4 + f * 0.4) = 12 (3.2 + 0.4f) = 12 Solving 3.2 + 0.4f = 12 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-3.2' to each side of the equation. 3.2 + -3.2 + 0.4f = 12 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + 0.4f = 12 + -3.2 0.4f = 12 + -3.2 Combine like terms: 12 + -3.2 = 8.8 0.4f = 8.8 Divide each side by '0.4'. f = 22 Simplifying f = 22
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