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Simplifying 6g + 3(-3 + 5g) = 1 + -1g 6g + (-3 * 3 + 5g * 3) = 1 + -1g 6g + (-9 + 15g) = 1 + -1g Reorder the terms: -9 + 6g + 15g = 1 + -1g Combine like terms: 6g + 15g = 21g -9 + 21g = 1 + -1g Solving -9 + 21g = 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. -9 + 21g + g = 1 + -1g + g Combine like terms: 21g + g = 22g -9 + 22g = 1 + -1g + g Combine like terms: -1g + g = 0 -9 + 22g = 1 + 0 -9 + 22g = 1 Add '9' to each side of the equation. -9 + 9 + 22g = 1 + 9 Combine like terms: -9 + 9 = 0 0 + 22g = 1 + 9 22g = 1 + 9 Combine like terms: 1 + 9 = 10 22g = 10 Divide each side by '22'. g = 0.4545454545 Simplifying g = 0.4545454545
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