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Simplifying 2f + 13 = 5f + -8 Reorder the terms: 13 + 2f = 5f + -8 Reorder the terms: 13 + 2f = -8 + 5f Solving 13 + 2f = -8 + 5f 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. 13 + 2f + -5f = -8 + 5f + -5f Combine like terms: 2f + -5f = -3f 13 + -3f = -8 + 5f + -5f Combine like terms: 5f + -5f = 0 13 + -3f = -8 + 0 13 + -3f = -8 Add '-13' to each side of the equation. 13 + -13 + -3f = -8 + -13 Combine like terms: 13 + -13 = 0 0 + -3f = -8 + -13 -3f = -8 + -13 Combine like terms: -8 + -13 = -21 -3f = -21 Divide each side by '-3'. f = 7 Simplifying f = 7
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