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Simplifying 8f + 14 = (12f) + -6 Reorder the terms: 14 + 8f = (12f) + -6 Reorder the terms: 14 + 8f = -6 + (12f) Solving 14 + 8f = -6 + (12f) Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '(-12f)' to each side of the equation. 14 + 8f + (-12f) = -6 + (12f) + (-12f) Combine like terms: 8f + (-12f) = -4f 14 + -4f = -6 + (12f) + (-12f) Combine like terms: (12f) + (-12f) = 0 14 + -4f = -6 + 0 14 + -4f = -6 Add '-14' to each side of the equation. 14 + -14 + -4f = -6 + -14 Combine like terms: 14 + -14 = 0 0 + -4f = -6 + -14 -4f = -6 + -14 Combine like terms: -6 + -14 = -20 -4f = -20 Divide each side by '-4'. f = 5 Simplifying f = 5
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