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Simplifying 6g + 3(-7 + 4g) = 1 + -1g 6g + (-7 * 3 + 4g * 3) = 1 + -1g 6g + (-21 + 12g) = 1 + -1g Reorder the terms: -21 + 6g + 12g = 1 + -1g Combine like terms: 6g + 12g = 18g -21 + 18g = 1 + -1g Solving -21 + 18g = 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. -21 + 18g + g = 1 + -1g + g Combine like terms: 18g + g = 19g -21 + 19g = 1 + -1g + g Combine like terms: -1g + g = 0 -21 + 19g = 1 + 0 -21 + 19g = 1 Add '21' to each side of the equation. -21 + 21 + 19g = 1 + 21 Combine like terms: -21 + 21 = 0 0 + 19g = 1 + 21 19g = 1 + 21 Combine like terms: 1 + 21 = 22 19g = 22 Divide each side by '19'. g = 1.157894737 Simplifying g = 1.157894737
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