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Simplifying 2(3g + -5) + 3(4g + 7) = 0 Reorder the terms: 2(-5 + 3g) + 3(4g + 7) = 0 (-5 * 2 + 3g * 2) + 3(4g + 7) = 0 (-10 + 6g) + 3(4g + 7) = 0 Reorder the terms: -10 + 6g + 3(7 + 4g) = 0 -10 + 6g + (7 * 3 + 4g * 3) = 0 -10 + 6g + (21 + 12g) = 0 Reorder the terms: -10 + 21 + 6g + 12g = 0 Combine like terms: -10 + 21 = 11 11 + 6g + 12g = 0 Combine like terms: 6g + 12g = 18g 11 + 18g = 0 Solving 11 + 18g = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 18g = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 18g = 0 + -11 18g = 0 + -11 Combine like terms: 0 + -11 = -11 18g = -11 Divide each side by '18'. g = -0.6111111111 Simplifying g = -0.6111111111
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