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Simplifying 3f + 2 = 5f + -7 Reorder the terms: 2 + 3f = 5f + -7 Reorder the terms: 2 + 3f = -7 + 5f Solving 2 + 3f = -7 + 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. 2 + 3f + -5f = -7 + 5f + -5f Combine like terms: 3f + -5f = -2f 2 + -2f = -7 + 5f + -5f Combine like terms: 5f + -5f = 0 2 + -2f = -7 + 0 2 + -2f = -7 Add '-2' to each side of the equation. 2 + -2 + -2f = -7 + -2 Combine like terms: 2 + -2 = 0 0 + -2f = -7 + -2 -2f = -7 + -2 Combine like terms: -7 + -2 = -9 -2f = -9 Divide each side by '-2'. f = 4.5 Simplifying f = 4.5
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