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Simplifying 2h + -4f + 7v + -3o + 6 = 6h + 2f + -8v + 8o + -1 Reorder the terms: 6 + -4f + 2h + -3o + 7v = 6h + 2f + -8v + 8o + -1 Reorder the terms: 6 + -4f + 2h + -3o + 7v = -1 + 2f + 6h + 8o + -8v Solving 6 + -4f + 2h + -3o + 7v = -1 + 2f + 6h + 8o + -8v Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-2f' to each side of the equation. 6 + -4f + 2h + -3o + -2f + 7v = -1 + 2f + 6h + 8o + -2f + -8v Reorder the terms: 6 + -4f + -2f + 2h + -3o + 7v = -1 + 2f + 6h + 8o + -2f + -8v Combine like terms: -4f + -2f = -6f 6 + -6f + 2h + -3o + 7v = -1 + 2f + 6h + 8o + -2f + -8v Reorder the terms: 6 + -6f + 2h + -3o + 7v = -1 + 2f + -2f + 6h + 8o + -8v Combine like terms: 2f + -2f = 0 6 + -6f + 2h + -3o + 7v = -1 + 0 + 6h + 8o + -8v 6 + -6f + 2h + -3o + 7v = -1 + 6h + 8o + -8v Add '-6' to each side of the equation. 6 + -6f + 2h + -3o + -6 + 7v = -1 + 6h + 8o + -6 + -8v Reorder the terms: 6 + -6 + -6f + 2h + -3o + 7v = -1 + 6h + 8o + -6 + -8v Combine like terms: 6 + -6 = 0 0 + -6f + 2h + -3o + 7v = -1 + 6h + 8o + -6 + -8v -6f + 2h + -3o + 7v = -1 + 6h + 8o + -6 + -8v Reorder the terms: -6f + 2h + -3o + 7v = -1 + -6 + 6h + 8o + -8v Combine like terms: -1 + -6 = -7 -6f + 2h + -3o + 7v = -7 + 6h + 8o + -8v Add '-2h' to each side of the equation. -6f + 2h + -3o + -2h + 7v = -7 + 6h + 8o + -2h + -8v Reorder the terms: -6f + 2h + -2h + -3o + 7v = -7 + 6h + 8o + -2h + -8v Combine like terms: 2h + -2h = 0 -6f + 0 + -3o + 7v = -7 + 6h + 8o + -2h + -8v -6f + -3o + 7v = -7 + 6h + 8o + -2h + -8v Reorder the terms: -6f + -3o + 7v = -7 + 6h + -2h + 8o + -8v Combine like terms: 6h + -2h = 4h -6f + -3o + 7v = -7 + 4h + 8o + -8v Add '3o' to each side of the equation. -6f + -3o + 3o + 7v = -7 + 4h + 8o + 3o + -8v Combine like terms: -3o + 3o = 0 -6f + 0 + 7v = -7 + 4h + 8o + 3o + -8v -6f + 7v = -7 + 4h + 8o + 3o + -8v Combine like terms: 8o + 3o = 11o -6f + 7v = -7 + 4h + 11o + -8v Add '-7v' to each side of the equation. -6f + 7v + -7v = -7 + 4h + 11o + -8v + -7v Combine like terms: 7v + -7v = 0 -6f + 0 = -7 + 4h + 11o + -8v + -7v -6f = -7 + 4h + 11o + -8v + -7v Combine like terms: -8v + -7v = -15v -6f = -7 + 4h + 11o + -15v Divide each side by '-6'. f = 1.166666667 + -0.6666666667h + -1.833333333o + 2.5v Simplifying f = 1.166666667 + -0.6666666667h + -1.833333333o + 2.5v
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