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Simplifying -8g + 9h + -6g + -1(-5h) + 7 = 0 Remove parenthesis around (-5h) -8g + 9h + -6g + -1 * -5h + 7 = 0 Multiply -1 * -5 -8g + 9h + -6g + 5h + 7 = 0 Reorder the terms: 7 + -8g + -6g + 9h + 5h = 0 Combine like terms: -8g + -6g = -14g 7 + -14g + 9h + 5h = 0 Combine like terms: 9h + 5h = 14h 7 + -14g + 14h = 0 Solving 7 + -14g + 14h = 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 + -14g + -7 + 14h = 0 + -7 Reorder the terms: 7 + -7 + -14g + 14h = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -14g + 14h = 0 + -7 -14g + 14h = 0 + -7 Combine like terms: 0 + -7 = -7 -14g + 14h = -7 Add '-14h' to each side of the equation. -14g + 14h + -14h = -7 + -14h Combine like terms: 14h + -14h = 0 -14g + 0 = -7 + -14h -14g = -7 + -14h Divide each side by '-14'. g = 0.5 + h Simplifying g = 0.5 + h
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