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Simplifying (-5g + 2h) + -1(6g + 5h) = 0 Remove parenthesis around (-5g + 2h) -5g + 2h + -1(6g + 5h) = 0 -5g + 2h + (6g * -1 + 5h * -1) = 0 -5g + 2h + (-6g + -5h) = 0 Reorder the terms: -5g + -6g + 2h + -5h = 0 Combine like terms: -5g + -6g = -11g -11g + 2h + -5h = 0 Combine like terms: 2h + -5h = -3h -11g + -3h = 0 Solving -11g + -3h = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '3h' to each side of the equation. -11g + -3h + 3h = 0 + 3h Combine like terms: -3h + 3h = 0 -11g + 0 = 0 + 3h -11g = 0 + 3h Remove the zero: -11g = 3h Divide each side by '-11'. g = -0.2727272727h Simplifying g = -0.2727272727h
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