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Simplifying 4(2f + -1g) = 0 (2f * 4 + -1g * 4) = 0 (8f + -4g) = 0 Solving 8f + -4g = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '4g' to each side of the equation. 8f + -4g + 4g = 0 + 4g Combine like terms: -4g + 4g = 0 8f + 0 = 0 + 4g 8f = 0 + 4g Remove the zero: 8f = 4g Divide each side by '8'. f = 0.5g Simplifying f = 0.5g
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