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Simplifying 4f + 9 = 7f + -5 Reorder the terms: 9 + 4f = 7f + -5 Reorder the terms: 9 + 4f = -5 + 7f Solving 9 + 4f = -5 + 7f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-7f' to each side of the equation. 9 + 4f + -7f = -5 + 7f + -7f Combine like terms: 4f + -7f = -3f 9 + -3f = -5 + 7f + -7f Combine like terms: 7f + -7f = 0 9 + -3f = -5 + 0 9 + -3f = -5 Add '-9' to each side of the equation. 9 + -9 + -3f = -5 + -9 Combine like terms: 9 + -9 = 0 0 + -3f = -5 + -9 -3f = -5 + -9 Combine like terms: -5 + -9 = -14 -3f = -14 Divide each side by '-3'. f = 4.666666667 Simplifying f = 4.666666667
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