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Simplifying 6(2g + -3h) + -5g = 0 (2g * 6 + -3h * 6) + -5g = 0 (12g + -18h) + -5g = 0 Reorder the terms: 12g + -5g + -18h = 0 Combine like terms: 12g + -5g = 7g 7g + -18h = 0 Solving 7g + -18h = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '18h' to each side of the equation. 7g + -18h + 18h = 0 + 18h Combine like terms: -18h + 18h = 0 7g + 0 = 0 + 18h 7g = 0 + 18h Remove the zero: 7g = 18h Divide each side by '7'. g = 2.571428571h Simplifying g = 2.571428571h
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