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Simplifying 5(-4g) + -6(2h) + 4(-5g) = 0 Remove parenthesis around (-4g) 5 * -4g + -6(2h) + 4(-5g) = 0 Multiply 5 * -4 -20g + -6(2h) + 4(-5g) = 0 Remove parenthesis around (2h) -20g + -6 * 2h + 4(-5g) = 0 Multiply -6 * 2 -20g + -12h + 4(-5g) = 0 Remove parenthesis around (-5g) -20g + -12h + 4 * -5g = 0 Multiply 4 * -5 -20g + -12h + -20g = 0 Reorder the terms: -20g + -20g + -12h = 0 Combine like terms: -20g + -20g = -40g -40g + -12h = 0 Solving -40g + -12h = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '12h' to each side of the equation. -40g + -12h + 12h = 0 + 12h Combine like terms: -12h + 12h = 0 -40g + 0 = 0 + 12h -40g = 0 + 12h Remove the zero: -40g = 12h Divide each side by '-40'. g = -0.3h Simplifying g = -0.3h
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