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Simplifying f + 5 = 3f + -2 Reorder the terms: 5 + f = 3f + -2 Reorder the terms: 5 + f = -2 + 3f Solving 5 + f = -2 + 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. 5 + f + -3f = -2 + 3f + -3f Combine like terms: f + -3f = -2f 5 + -2f = -2 + 3f + -3f Combine like terms: 3f + -3f = 0 5 + -2f = -2 + 0 5 + -2f = -2 Add '-5' to each side of the equation. 5 + -5 + -2f = -2 + -5 Combine like terms: 5 + -5 = 0 0 + -2f = -2 + -5 -2f = -2 + -5 Combine like terms: -2 + -5 = -7 -2f = -7 Divide each side by '-2'. f = 3.5 Simplifying f = 3.5
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