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Simplifying 9(g + 10) + -4g = 8g + 27 Reorder the terms: 9(10 + g) + -4g = 8g + 27 (10 * 9 + g * 9) + -4g = 8g + 27 (90 + 9g) + -4g = 8g + 27 Combine like terms: 9g + -4g = 5g 90 + 5g = 8g + 27 Reorder the terms: 90 + 5g = 27 + 8g Solving 90 + 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. 90 + 5g + -8g = 27 + 8g + -8g Combine like terms: 5g + -8g = -3g 90 + -3g = 27 + 8g + -8g Combine like terms: 8g + -8g = 0 90 + -3g = 27 + 0 90 + -3g = 27 Add '-90' to each side of the equation. 90 + -90 + -3g = 27 + -90 Combine like terms: 90 + -90 = 0 0 + -3g = 27 + -90 -3g = 27 + -90 Combine like terms: 27 + -90 = -63 -3g = -63 Divide each side by '-3'. g = 21 Simplifying g = 21
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