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Simplifying (3g + -2h)(8) = 0 Reorder the terms for easier multiplication: 8(3g + -2h) = 0 (3g * 8 + -2h * 8) = 0 (24g + -16h) = 0 Solving 24g + -16h = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '16h' to each side of the equation. 24g + -16h + 16h = 0 + 16h Combine like terms: -16h + 16h = 0 24g + 0 = 0 + 16h 24g = 0 + 16h Remove the zero: 24g = 16h Divide each side by '24'. g = 0.6666666667h Simplifying g = 0.6666666667h
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