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Simplifying 9g + -1(10 + 4g) = 8g + 27 9g + (10 * -1 + 4g * -1) = 8g + 27 9g + (-10 + -4g) = 8g + 27 Reorder the terms: -10 + 9g + -4g = 8g + 27 Combine like terms: 9g + -4g = 5g -10 + 5g = 8g + 27 Reorder the terms: -10 + 5g = 27 + 8g Solving -10 + 5g = 27 + 8g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-8g' to each side of the equation. -10 + 5g + -8g = 27 + 8g + -8g Combine like terms: 5g + -8g = -3g -10 + -3g = 27 + 8g + -8g Combine like terms: 8g + -8g = 0 -10 + -3g = 27 + 0 -10 + -3g = 27 Add '10' to each side of the equation. -10 + 10 + -3g = 27 + 10 Combine like terms: -10 + 10 = 0 0 + -3g = 27 + 10 -3g = 27 + 10 Combine like terms: 27 + 10 = 37 -3g = 37 Divide each side by '-3'. g = -12.33333333 Simplifying g = -12.33333333
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