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Simplifying 6g + 2(-6 + 3g) = 1 + -1g 6g + (-6 * 2 + 3g * 2) = 1 + -1g 6g + (-12 + 6g) = 1 + -1g Reorder the terms: -12 + 6g + 6g = 1 + -1g Combine like terms: 6g + 6g = 12g -12 + 12g = 1 + -1g Solving -12 + 12g = 1 + -1g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add 'g' to each side of the equation. -12 + 12g + g = 1 + -1g + g Combine like terms: 12g + g = 13g -12 + 13g = 1 + -1g + g Combine like terms: -1g + g = 0 -12 + 13g = 1 + 0 -12 + 13g = 1 Add '12' to each side of the equation. -12 + 12 + 13g = 1 + 12 Combine like terms: -12 + 12 = 0 0 + 13g = 1 + 12 13g = 1 + 12 Combine like terms: 1 + 12 = 13 13g = 13 Divide each side by '13'. g = 1 Simplifying g = 1
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