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Simplifying 7f + -13 = 3f + 23 Reorder the terms: -13 + 7f = 3f + 23 Reorder the terms: -13 + 7f = 23 + 3f Solving -13 + 7f = 23 + 3f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-3f' to each side of the equation. -13 + 7f + -3f = 23 + 3f + -3f Combine like terms: 7f + -3f = 4f -13 + 4f = 23 + 3f + -3f Combine like terms: 3f + -3f = 0 -13 + 4f = 23 + 0 -13 + 4f = 23 Add '13' to each side of the equation. -13 + 13 + 4f = 23 + 13 Combine like terms: -13 + 13 = 0 0 + 4f = 23 + 13 4f = 23 + 13 Combine like terms: 23 + 13 = 36 4f = 36 Divide each side by '4'. f = 9 Simplifying f = 9
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