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Simplifying 3(2g + -3h) + -2(4g + -1h) = 0 (2g * 3 + -3h * 3) + -2(4g + -1h) = 0 (6g + -9h) + -2(4g + -1h) = 0 6g + -9h + (4g * -2 + -1h * -2) = 0 6g + -9h + (-8g + 2h) = 0 Reorder the terms: 6g + -8g + -9h + 2h = 0 Combine like terms: 6g + -8g = -2g -2g + -9h + 2h = 0 Combine like terms: -9h + 2h = -7h -2g + -7h = 0 Solving -2g + -7h = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '7h' to each side of the equation. -2g + -7h + 7h = 0 + 7h Combine like terms: -7h + 7h = 0 -2g + 0 = 0 + 7h -2g = 0 + 7h Remove the zero: -2g = 7h Divide each side by '-2'. g = -3.5h Simplifying g = -3.5h
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