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Simplifying 14f + -46 = 18f + -82 Reorder the terms: -46 + 14f = 18f + -82 Reorder the terms: -46 + 14f = -82 + 18f Solving -46 + 14f = -82 + 18f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-18f' to each side of the equation. -46 + 14f + -18f = -82 + 18f + -18f Combine like terms: 14f + -18f = -4f -46 + -4f = -82 + 18f + -18f Combine like terms: 18f + -18f = 0 -46 + -4f = -82 + 0 -46 + -4f = -82 Add '46' to each side of the equation. -46 + 46 + -4f = -82 + 46 Combine like terms: -46 + 46 = 0 0 + -4f = -82 + 46 -4f = -82 + 46 Combine like terms: -82 + 46 = -36 -4f = -36 Divide each side by '-4'. f = 9 Simplifying f = 9
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