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Simplifying 6(6g + -2) + 8(1 + -5g) = 0 Reorder the terms: 6(-2 + 6g) + 8(1 + -5g) = 0 (-2 * 6 + 6g * 6) + 8(1 + -5g) = 0 (-12 + 36g) + 8(1 + -5g) = 0 -12 + 36g + (1 * 8 + -5g * 8) = 0 -12 + 36g + (8 + -40g) = 0 Reorder the terms: -12 + 8 + 36g + -40g = 0 Combine like terms: -12 + 8 = -4 -4 + 36g + -40g = 0 Combine like terms: 36g + -40g = -4g -4 + -4g = 0 Solving -4 + -4g = 0 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 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -4g = 0 + 4 -4g = 0 + 4 Combine like terms: 0 + 4 = 4 -4g = 4 Divide each side by '-4'. g = -1 Simplifying g = -1
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