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Simplifying 8g + -11 = 2g + -1(9 + -3g) Reorder the terms: -11 + 8g = 2g + -1(9 + -3g) -11 + 8g = 2g + (9 * -1 + -3g * -1) -11 + 8g = 2g + (-9 + 3g) Reorder the terms: -11 + 8g = -9 + 2g + 3g Combine like terms: 2g + 3g = 5g -11 + 8g = -9 + 5g Solving -11 + 8g = -9 + 5g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-5g' to each side of the equation. -11 + 8g + -5g = -9 + 5g + -5g Combine like terms: 8g + -5g = 3g -11 + 3g = -9 + 5g + -5g Combine like terms: 5g + -5g = 0 -11 + 3g = -9 + 0 -11 + 3g = -9 Add '11' to each side of the equation. -11 + 11 + 3g = -9 + 11 Combine like terms: -11 + 11 = 0 0 + 3g = -9 + 11 3g = -9 + 11 Combine like terms: -9 + 11 = 2 3g = 2 Divide each side by '3'. g = 0.6666666667 Simplifying g = 0.6666666667
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