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Simplifying 4k + 6f + -700 = 6k + 5f + 800 Reorder the terms: -700 + 6f + 4k = 6k + 5f + 800 Reorder the terms: -700 + 6f + 4k = 800 + 5f + 6k Solving -700 + 6f + 4k = 800 + 5f + 6k Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-5f' to each side of the equation. -700 + 6f + -5f + 4k = 800 + 5f + -5f + 6k Combine like terms: 6f + -5f = 1f -700 + 1f + 4k = 800 + 5f + -5f + 6k Combine like terms: 5f + -5f = 0 -700 + 1f + 4k = 800 + 0 + 6k -700 + 1f + 4k = 800 + 6k Add '700' to each side of the equation. -700 + 1f + 700 + 4k = 800 + 700 + 6k Reorder the terms: -700 + 700 + 1f + 4k = 800 + 700 + 6k Combine like terms: -700 + 700 = 0 0 + 1f + 4k = 800 + 700 + 6k 1f + 4k = 800 + 700 + 6k Combine like terms: 800 + 700 = 1500 1f + 4k = 1500 + 6k Add '-4k' to each side of the equation. 1f + 4k + -4k = 1500 + 6k + -4k Combine like terms: 4k + -4k = 0 1f + 0 = 1500 + 6k + -4k 1f = 1500 + 6k + -4k Combine like terms: 6k + -4k = 2k 1f = 1500 + 2k Divide each side by '1'. f = 1500 + 2k Simplifying f = 1500 + 2k
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