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Simplifying -1fgh + -4g + -3h + 1 = 3g + -5h + 10 Reorder the terms: 1 + -1fgh + -4g + -3h = 3g + -5h + 10 Reorder the terms: 1 + -1fgh + -4g + -3h = 10 + 3g + -5h Solving 1 + -1fgh + -4g + -3h = 10 + 3g + -5h Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1fgh + -4g + -1 + -3h = 10 + 3g + -1 + -5h Reorder the terms: 1 + -1 + -1fgh + -4g + -3h = 10 + 3g + -1 + -5h Combine like terms: 1 + -1 = 0 0 + -1fgh + -4g + -3h = 10 + 3g + -1 + -5h -1fgh + -4g + -3h = 10 + 3g + -1 + -5h Reorder the terms: -1fgh + -4g + -3h = 10 + -1 + 3g + -5h Combine like terms: 10 + -1 = 9 -1fgh + -4g + -3h = 9 + 3g + -5h Add '4g' to each side of the equation. -1fgh + -4g + 4g + -3h = 9 + 3g + 4g + -5h Combine like terms: -4g + 4g = 0 -1fgh + 0 + -3h = 9 + 3g + 4g + -5h -1fgh + -3h = 9 + 3g + 4g + -5h Combine like terms: 3g + 4g = 7g -1fgh + -3h = 9 + 7g + -5h Add '3h' to each side of the equation. -1fgh + -3h + 3h = 9 + 7g + -5h + 3h Combine like terms: -3h + 3h = 0 -1fgh + 0 = 9 + 7g + -5h + 3h -1fgh = 9 + 7g + -5h + 3h Combine like terms: -5h + 3h = -2h -1fgh = 9 + 7g + -2h Divide each side by '-1gh'. f = -9g-1h-1 + -7h-1 + 2g-1 Simplifying f = -9g-1h-1 + -7h-1 + 2g-1 Reorder the terms: f = 2g-1 + -9g-1h-1 + -7h-1
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