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Simplifying (7f + -8g + 12h) + (-10h + -2f + 8g) = 0 Remove parenthesis around (7f + -8g + 12h) 7f + -8g + 12h + (-10h + -2f + 8g) = 0 Reorder the terms: 7f + -8g + 12h + (-2f + 8g + -10h) = 0 Remove parenthesis around (-2f + 8g + -10h) 7f + -8g + 12h + -2f + 8g + -10h = 0 Reorder the terms: 7f + -2f + -8g + 8g + 12h + -10h = 0 Combine like terms: 7f + -2f = 5f 5f + -8g + 8g + 12h + -10h = 0 Combine like terms: -8g + 8g = 0 5f + 0 + 12h + -10h = 0 5f + 12h + -10h = 0 Combine like terms: 12h + -10h = 2h 5f + 2h = 0 Solving 5f + 2h = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-2h' to each side of the equation. 5f + 2h + -2h = 0 + -2h Combine like terms: 2h + -2h = 0 5f + 0 = 0 + -2h 5f = 0 + -2h Remove the zero: 5f = -2h Divide each side by '5'. f = -0.4h Simplifying f = -0.4h
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