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Simplifying 13(f + -1) = 10f + 5 Reorder the terms: 13(-1 + f) = 10f + 5 (-1 * 13 + f * 13) = 10f + 5 (-13 + 13f) = 10f + 5 Reorder the terms: -13 + 13f = 5 + 10f Solving -13 + 13f = 5 + 10f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-10f' to each side of the equation. -13 + 13f + -10f = 5 + 10f + -10f Combine like terms: 13f + -10f = 3f -13 + 3f = 5 + 10f + -10f Combine like terms: 10f + -10f = 0 -13 + 3f = 5 + 0 -13 + 3f = 5 Add '13' to each side of the equation. -13 + 13 + 3f = 5 + 13 Combine like terms: -13 + 13 = 0 0 + 3f = 5 + 13 3f = 5 + 13 Combine like terms: 5 + 13 = 18 3f = 18 Divide each side by '3'. f = 6 Simplifying f = 6
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