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Simplifying 0.5(8f + 4g + -12t) = 0 (8f * 0.5 + 4g * 0.5 + -12t * 0.5) = 0 (4f + 2g + -6t) = 0 Solving 4f + 2g + -6t = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-2g' to each side of the equation. 4f + 2g + -2g + -6t = 0 + -2g Combine like terms: 2g + -2g = 0 4f + 0 + -6t = 0 + -2g 4f + -6t = 0 + -2g Remove the zero: 4f + -6t = -2g Add '6t' to each side of the equation. 4f + -6t + 6t = -2g + 6t Combine like terms: -6t + 6t = 0 4f + 0 = -2g + 6t 4f = -2g + 6t Divide each side by '4'. f = -0.5g + 1.5t Simplifying f = -0.5g + 1.5t
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