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Simplifying 6g + 2(4g + -3) + 10 = 32 Reorder the terms: 6g + 2(-3 + 4g) + 10 = 32 6g + (-3 * 2 + 4g * 2) + 10 = 32 6g + (-6 + 8g) + 10 = 32 Reorder the terms: -6 + 10 + 6g + 8g = 32 Combine like terms: -6 + 10 = 4 4 + 6g + 8g = 32 Combine like terms: 6g + 8g = 14g 4 + 14g = 32 Solving 4 + 14g = 32 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 14g = 32 + -4 Combine like terms: 4 + -4 = 0 0 + 14g = 32 + -4 14g = 32 + -4 Combine like terms: 32 + -4 = 28 14g = 28 Divide each side by '14'. g = 2 Simplifying g = 2
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