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Simplifying 6g + 3(-5 + 2g) = 1 + -1g 6g + (-5 * 3 + 2g * 3) = 1 + -1g 6g + (-15 + 6g) = 1 + -1g Reorder the terms: -15 + 6g + 6g = 1 + -1g Combine like terms: 6g + 6g = 12g -15 + 12g = 1 + -1g Solving -15 + 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. -15 + 12g + g = 1 + -1g + g Combine like terms: 12g + g = 13g -15 + 13g = 1 + -1g + g Combine like terms: -1g + g = 0 -15 + 13g = 1 + 0 -15 + 13g = 1 Add '15' to each side of the equation. -15 + 15 + 13g = 1 + 15 Combine like terms: -15 + 15 = 0 0 + 13g = 1 + 15 13g = 1 + 15 Combine like terms: 1 + 15 = 16 13g = 16 Divide each side by '13'. g = 1.230769231 Simplifying g = 1.230769231
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