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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 = -20 -20 + 36g + -40g = 2g Combine like terms: 36g + -40g = -4g -20 + -4g = 2g Solving -20 + -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. -20 + -4g + -2g = 2g + -2g Combine like terms: -4g + -2g = -6g -20 + -6g = 2g + -2g Combine like terms: 2g + -2g = 0 -20 + -6g = 0 Add '20' to each side of the equation. -20 + 20 + -6g = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -6g = 0 + 20 -6g = 0 + 20 Combine like terms: 0 + 20 = 20 -6g = 20 Divide each side by '-6'. g = -3.333333333 Simplifying g = -3.333333333
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