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Simplifying 2(3g + -10) + (4g + 3) = 8g + 14 Reorder the terms: 2(-10 + 3g) + (4g + 3) = 8g + 14 (-10 * 2 + 3g * 2) + (4g + 3) = 8g + 14 (-20 + 6g) + (4g + 3) = 8g + 14 Reorder the terms: -20 + 6g + (3 + 4g) = 8g + 14 Remove parenthesis around (3 + 4g) -20 + 6g + 3 + 4g = 8g + 14 Reorder the terms: -20 + 3 + 6g + 4g = 8g + 14 Combine like terms: -20 + 3 = -17 -17 + 6g + 4g = 8g + 14 Combine like terms: 6g + 4g = 10g -17 + 10g = 8g + 14 Reorder the terms: -17 + 10g = 14 + 8g Solving -17 + 10g = 14 + 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. -17 + 10g + -8g = 14 + 8g + -8g Combine like terms: 10g + -8g = 2g -17 + 2g = 14 + 8g + -8g Combine like terms: 8g + -8g = 0 -17 + 2g = 14 + 0 -17 + 2g = 14 Add '17' to each side of the equation. -17 + 17 + 2g = 14 + 17 Combine like terms: -17 + 17 = 0 0 + 2g = 14 + 17 2g = 14 + 17 Combine like terms: 14 + 17 = 31 2g = 31 Divide each side by '2'. g = 15.5 Simplifying g = 15.5
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