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Simplifying 12f + 10k + 2n + 21n + -13f + -2n + 15k = 0 Reorder the terms: 12f + -13f + 10k + 15k + 2n + 21n + -2n = 0 Combine like terms: 12f + -13f = -1f -1f + 10k + 15k + 2n + 21n + -2n = 0 Combine like terms: 10k + 15k = 25k -1f + 25k + 2n + 21n + -2n = 0 Combine like terms: 2n + 21n = 23n -1f + 25k + 23n + -2n = 0 Combine like terms: 23n + -2n = 21n -1f + 25k + 21n = 0 Solving -1f + 25k + 21n = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-25k' to each side of the equation. -1f + 25k + -25k + 21n = 0 + -25k Combine like terms: 25k + -25k = 0 -1f + 0 + 21n = 0 + -25k -1f + 21n = 0 + -25k Remove the zero: -1f + 21n = -25k Add '-21n' to each side of the equation. -1f + 21n + -21n = -25k + -21n Combine like terms: 21n + -21n = 0 -1f + 0 = -25k + -21n -1f = -25k + -21n Divide each side by '-1'. f = 25k + 21n Simplifying f = 25k + 21n
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