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Simplifying 8(12f + -3g) = 3(4f + -1h) (12f * 8 + -3g * 8) = 3(4f + -1h) (96f + -24g) = 3(4f + -1h) 96f + -24g = (4f * 3 + -1h * 3) 96f + -24g = (12f + -3h) Solving 96f + -24g = 12f + -3h Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-12f' to each side of the equation. 96f + -12f + -24g = 12f + -12f + -3h Combine like terms: 96f + -12f = 84f 84f + -24g = 12f + -12f + -3h Combine like terms: 12f + -12f = 0 84f + -24g = 0 + -3h 84f + -24g = -3h Add '24g' to each side of the equation. 84f + -24g + 24g = 24g + -3h Combine like terms: -24g + 24g = 0 84f + 0 = 24g + -3h 84f = 24g + -3h Divide each side by '84'. f = 0.2857142857g + -0.03571428571h Simplifying f = 0.2857142857g + -0.03571428571h
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