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Simplifying 3f + 7 = 5f + -9 Reorder the terms: 7 + 3f = 5f + -9 Reorder the terms: 7 + 3f = -9 + 5f Solving 7 + 3f = -9 + 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. 7 + 3f + -5f = -9 + 5f + -5f Combine like terms: 3f + -5f = -2f 7 + -2f = -9 + 5f + -5f Combine like terms: 5f + -5f = 0 7 + -2f = -9 + 0 7 + -2f = -9 Add '-7' to each side of the equation. 7 + -7 + -2f = -9 + -7 Combine like terms: 7 + -7 = 0 0 + -2f = -9 + -7 -2f = -9 + -7 Combine like terms: -9 + -7 = -16 -2f = -16 Divide each side by '-2'. f = 8 Simplifying f = 8
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