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Simplifying 6g + 2(-7 + 4g) = 1 + -1g 6g + (-7 * 2 + 4g * 2) = 1 + -1g 6g + (-14 + 8g) = 1 + -1g Reorder the terms: -14 + 6g + 8g = 1 + -1g Combine like terms: 6g + 8g = 14g -14 + 14g = 1 + -1g Solving -14 + 14g = 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. -14 + 14g + g = 1 + -1g + g Combine like terms: 14g + g = 15g -14 + 15g = 1 + -1g + g Combine like terms: -1g + g = 0 -14 + 15g = 1 + 0 -14 + 15g = 1 Add '14' to each side of the equation. -14 + 14 + 15g = 1 + 14 Combine like terms: -14 + 14 = 0 0 + 15g = 1 + 14 15g = 1 + 14 Combine like terms: 1 + 14 = 15 15g = 15 Divide each side by '15'. g = 1 Simplifying g = 1
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