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Simplifying 2g + 2(-6 + 4g) = 1 + -1g 2g + (-6 * 2 + 4g * 2) = 1 + -1g 2g + (-12 + 8g) = 1 + -1g Reorder the terms: -12 + 2g + 8g = 1 + -1g Combine like terms: 2g + 8g = 10g -12 + 10g = 1 + -1g Solving -12 + 10g = 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 + 10g + g = 1 + -1g + g Combine like terms: 10g + g = 11g -12 + 11g = 1 + -1g + g Combine like terms: -1g + g = 0 -12 + 11g = 1 + 0 -12 + 11g = 1 Add '12' to each side of the equation. -12 + 12 + 11g = 1 + 12 Combine like terms: -12 + 12 = 0 0 + 11g = 1 + 12 11g = 1 + 12 Combine like terms: 1 + 12 = 13 11g = 13 Divide each side by '11'. g = 1.181818182 Simplifying g = 1.181818182
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