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Simplifying 4g + 21 + -8g = 5(2g + 3) + -21 Reorder the terms: 21 + 4g + -8g = 5(2g + 3) + -21 Combine like terms: 4g + -8g = -4g 21 + -4g = 5(2g + 3) + -21 Reorder the terms: 21 + -4g = 5(3 + 2g) + -21 21 + -4g = (3 * 5 + 2g * 5) + -21 21 + -4g = (15 + 10g) + -21 Reorder the terms: 21 + -4g = 15 + -21 + 10g Combine like terms: 15 + -21 = -6 21 + -4g = -6 + 10g Solving 21 + -4g = -6 + 10g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-10g' to each side of the equation. 21 + -4g + -10g = -6 + 10g + -10g Combine like terms: -4g + -10g = -14g 21 + -14g = -6 + 10g + -10g Combine like terms: 10g + -10g = 0 21 + -14g = -6 + 0 21 + -14g = -6 Add '-21' to each side of the equation. 21 + -21 + -14g = -6 + -21 Combine like terms: 21 + -21 = 0 0 + -14g = -6 + -21 -14g = -6 + -21 Combine like terms: -6 + -21 = -27 -14g = -27 Divide each side by '-14'. g = 1.928571429 Simplifying g = 1.928571429
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