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Simplifying 6(6g + -2) + 8(1 + -5g) = 2g Reorder the terms: 6(-2 + 6g) + 8(1 + -5g) = 2g (-2 * 6 + 6g * 6) + 8(1 + -5g) = 2g (-12 + 36g) + 8(1 + -5g) = 2g -12 + 36g + (1 * 8 + -5g * 8) = 2g -12 + 36g + (8 + -40g) = 2g Reorder the terms: -12 + 8 + 36g + -40g = 2g Combine like terms: -12 + 8 = -4 -4 + 36g + -40g = 2g Combine like terms: 36g + -40g = -4g -4 + -4g = 2g Solving -4 + -4g = 2g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2g' to each side of the equation. -4 + -4g + -2g = 2g + -2g Combine like terms: -4g + -2g = -6g -4 + -6g = 2g + -2g Combine like terms: 2g + -2g = 0 -4 + -6g = 0 Add '4' to each side of the equation. -4 + 4 + -6g = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -6g = 0 + 4 -6g = 0 + 4 Combine like terms: 0 + 4 = 4 -6g = 4 Divide each side by '-6'. g = -0.6666666667 Simplifying g = -0.6666666667
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