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