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Simplifying 35 + -5f = 2f + 7 Reorder the terms: 35 + -5f = 7 + 2f Solving 35 + -5f = 7 + 2f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-2f' to each side of the equation. 35 + -5f + -2f = 7 + 2f + -2f Combine like terms: -5f + -2f = -7f 35 + -7f = 7 + 2f + -2f Combine like terms: 2f + -2f = 0 35 + -7f = 7 + 0 35 + -7f = 7 Add '-35' to each side of the equation. 35 + -35 + -7f = 7 + -35 Combine like terms: 35 + -35 = 0 0 + -7f = 7 + -35 -7f = 7 + -35 Combine like terms: 7 + -35 = -28 -7f = -28 Divide each side by '-7'. f = 4 Simplifying f = 4
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