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Simplifying 3f + 5 = 5f + -7 Reorder the terms: 5 + 3f = 5f + -7 Reorder the terms: 5 + 3f = -7 + 5f Solving 5 + 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. 5 + 3f + -5f = -7 + 5f + -5f Combine like terms: 3f + -5f = -2f 5 + -2f = -7 + 5f + -5f Combine like terms: 5f + -5f = 0 5 + -2f = -7 + 0 5 + -2f = -7 Add '-5' to each side of the equation. 5 + -5 + -2f = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -2f = -7 + -5 -2f = -7 + -5 Combine like terms: -7 + -5 = -12 -2f = -12 Divide each side by '-2'. f = 6 Simplifying f = 6
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