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Simplifying 12f + -3r + -6f + 5s + -8s + -8 = 0 Reorder the terms: -8 + 12f + -6f + -3r + 5s + -8s = 0 Combine like terms: 12f + -6f = 6f -8 + 6f + -3r + 5s + -8s = 0 Combine like terms: 5s + -8s = -3s -8 + 6f + -3r + -3s = 0 Solving -8 + 6f + -3r + -3s = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 6f + -3r + 8 + -3s = 0 + 8 Reorder the terms: -8 + 8 + 6f + -3r + -3s = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 6f + -3r + -3s = 0 + 8 6f + -3r + -3s = 0 + 8 Combine like terms: 0 + 8 = 8 6f + -3r + -3s = 8 Add '3r' to each side of the equation. 6f + -3r + 3r + -3s = 8 + 3r Combine like terms: -3r + 3r = 0 6f + 0 + -3s = 8 + 3r 6f + -3s = 8 + 3r Add '3s' to each side of the equation. 6f + -3s + 3s = 8 + 3r + 3s Combine like terms: -3s + 3s = 0 6f + 0 = 8 + 3r + 3s 6f = 8 + 3r + 3s Divide each side by '6'. f = 1.333333333 + 0.5r + 0.5s Simplifying f = 1.333333333 + 0.5r + 0.5s
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