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Simplifying 6g + 3(-4 + 3g) = 1 + -1g 6g + (-4 * 3 + 3g * 3) = 1 + -1g 6g + (-12 + 9g) = 1 + -1g Reorder the terms: -12 + 6g + 9g = 1 + -1g Combine like terms: 6g + 9g = 15g -12 + 15g = 1 + -1g Solving -12 + 15g = 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 + 15g + g = 1 + -1g + g Combine like terms: 15g + g = 16g -12 + 16g = 1 + -1g + g Combine like terms: -1g + g = 0 -12 + 16g = 1 + 0 -12 + 16g = 1 Add '12' to each side of the equation. -12 + 12 + 16g = 1 + 12 Combine like terms: -12 + 12 = 0 0 + 16g = 1 + 12 16g = 1 + 12 Combine like terms: 1 + 12 = 13 16g = 13 Divide each side by '16'. g = 0.8125 Simplifying g = 0.8125
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