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Simplifying (2g + 9h + -5) + -1(6g + -4h + 2) = 0 Reorder the terms: (-5 + 2g + 9h) + -1(6g + -4h + 2) = 0 Remove parenthesis around (-5 + 2g + 9h) -5 + 2g + 9h + -1(6g + -4h + 2) = 0 Reorder the terms: -5 + 2g + 9h + -1(2 + 6g + -4h) = 0 -5 + 2g + 9h + (2 * -1 + 6g * -1 + -4h * -1) = 0 -5 + 2g + 9h + (-2 + -6g + 4h) = 0 Reorder the terms: -5 + -2 + 2g + -6g + 9h + 4h = 0 Combine like terms: -5 + -2 = -7 -7 + 2g + -6g + 9h + 4h = 0 Combine like terms: 2g + -6g = -4g -7 + -4g + 9h + 4h = 0 Combine like terms: 9h + 4h = 13h -7 + -4g + 13h = 0 Solving -7 + -4g + 13h = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '7' to each side of the equation. -7 + -4g + 7 + 13h = 0 + 7 Reorder the terms: -7 + 7 + -4g + 13h = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -4g + 13h = 0 + 7 -4g + 13h = 0 + 7 Combine like terms: 0 + 7 = 7 -4g + 13h = 7 Add '-13h' to each side of the equation. -4g + 13h + -13h = 7 + -13h Combine like terms: 13h + -13h = 0 -4g + 0 = 7 + -13h -4g = 7 + -13h Divide each side by '-4'. g = -1.75 + 3.25h Simplifying g = -1.75 + 3.25h
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