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Simplifying 12F + -4C + 8C = 4F + 10C + -3G Reorder the terms: -4C + 8C + 12F = 4F + 10C + -3G Combine like terms: -4C + 8C = 4C 4C + 12F = 4F + 10C + -3G Reorder the terms: 4C + 12F = 10C + 4F + -3G Solving 4C + 12F = 10C + 4F + -3G Solving for variable 'C'. Move all terms containing C to the left, all other terms to the right. Add '-10C' to each side of the equation. 4C + -10C + 12F = 10C + 4F + -10C + -3G Combine like terms: 4C + -10C = -6C -6C + 12F = 10C + 4F + -10C + -3G Reorder the terms: -6C + 12F = 10C + -10C + 4F + -3G Combine like terms: 10C + -10C = 0 -6C + 12F = 0 + 4F + -3G -6C + 12F = 4F + -3G Add '-12F' to each side of the equation. -6C + 12F + -12F = 4F + -12F + -3G Combine like terms: 12F + -12F = 0 -6C + 0 = 4F + -12F + -3G -6C = 4F + -12F + -3G Combine like terms: 4F + -12F = -8F -6C = -8F + -3G Divide each side by '-6'. C = 1.333333333F + 0.5G Simplifying C = 1.333333333F + 0.5G
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