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Simplifying 31 = -5 + 7(f + 6) Reorder the terms: 31 = -5 + 7(6 + f) 31 = -5 + (6 * 7 + f * 7) 31 = -5 + (42 + 7f) Combine like terms: -5 + 42 = 37 31 = 37 + 7f Solving 31 = 37 + 7f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-7f' to each side of the equation. 31 + -7f = 37 + 7f + -7f Combine like terms: 7f + -7f = 0 31 + -7f = 37 + 0 31 + -7f = 37 Add '-31' to each side of the equation. 31 + -31 + -7f = 37 + -31 Combine like terms: 31 + -31 = 0 0 + -7f = 37 + -31 -7f = 37 + -31 Combine like terms: 37 + -31 = 6 -7f = 6 Divide each side by '-7'. f = -0.8571428571 Simplifying f = -0.8571428571
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