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Simplifying 6 + 3f = 7f + -14 Reorder the terms: 6 + 3f = -14 + 7f Solving 6 + 3f = -14 + 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. 6 + 3f + -7f = -14 + 7f + -7f Combine like terms: 3f + -7f = -4f 6 + -4f = -14 + 7f + -7f Combine like terms: 7f + -7f = 0 6 + -4f = -14 + 0 6 + -4f = -14 Add '-6' to each side of the equation. 6 + -6 + -4f = -14 + -6 Combine like terms: 6 + -6 = 0 0 + -4f = -14 + -6 -4f = -14 + -6 Combine like terms: -14 + -6 = -20 -4f = -20 Divide each side by '-4'. f = 5 Simplifying f = 5
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