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Simplifying 6(6g + -2) + 8(1 + -5g) = 2f Reorder the terms: 6(-2 + 6g) + 8(1 + -5g) = 2f (-2 * 6 + 6g * 6) + 8(1 + -5g) = 2f (-12 + 36g) + 8(1 + -5g) = 2f -12 + 36g + (1 * 8 + -5g * 8) = 2f -12 + 36g + (8 + -40g) = 2f Reorder the terms: -12 + 8 + 36g + -40g = 2f Combine like terms: -12 + 8 = -4 -4 + 36g + -40g = 2f Combine like terms: 36g + -40g = -4g -4 + -4g = 2f Solving -4 + -4g = 2f Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -4g = 4 + 2f Combine like terms: -4 + 4 = 0 0 + -4g = 4 + 2f -4g = 4 + 2f Divide each side by '-4'. g = -1 + -0.5f Simplifying g = -1 + -0.5f
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