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Simplifying 14f + -17g + 2(1 + -1f) = 0 14f + -17g + (1 * 2 + -1f * 2) = 0 14f + -17g + (2 + -2f) = 0 Reorder the terms: 2 + 14f + -2f + -17g = 0 Combine like terms: 14f + -2f = 12f 2 + 12f + -17g = 0 Solving 2 + 12f + -17g = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 12f + -2 + -17g = 0 + -2 Reorder the terms: 2 + -2 + 12f + -17g = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 12f + -17g = 0 + -2 12f + -17g = 0 + -2 Combine like terms: 0 + -2 = -2 12f + -17g = -2 Add '17g' to each side of the equation. 12f + -17g + 17g = -2 + 17g Combine like terms: -17g + 17g = 0 12f + 0 = -2 + 17g 12f = -2 + 17g Divide each side by '12'. f = -0.1666666667 + 1.416666667g Simplifying f = -0.1666666667 + 1.416666667g
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