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Simplifying 6f + 12r + -9 + -8r + 10 + r = 0 Reorder the terms: -9 + 10 + 6f + 12r + -8r + r = 0 Combine like terms: -9 + 10 = 1 1 + 6f + 12r + -8r + r = 0 Combine like terms: 12r + -8r = 4r 1 + 6f + 4r + r = 0 Combine like terms: 4r + r = 5r 1 + 6f + 5r = 0 Solving 1 + 6f + 5r = 0 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 + 6f + -1 + 5r = 0 + -1 Reorder the terms: 1 + -1 + 6f + 5r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6f + 5r = 0 + -1 6f + 5r = 0 + -1 Combine like terms: 0 + -1 = -1 6f + 5r = -1 Add '-5r' to each side of the equation. 6f + 5r + -5r = -1 + -5r Combine like terms: 5r + -5r = 0 6f + 0 = -1 + -5r 6f = -1 + -5r Divide each side by '6'. f = -0.1666666667 + -0.8333333333r Simplifying f = -0.1666666667 + -0.8333333333r
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