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Simplifying 35 + -4 + f = 2f + -7 Combine like terms: 35 + -4 = 31 31 + f = 2f + -7 Reorder the terms: 31 + f = -7 + 2f Solving 31 + f = -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. 31 + f + -2f = -7 + 2f + -2f Combine like terms: f + -2f = -1f 31 + -1f = -7 + 2f + -2f Combine like terms: 2f + -2f = 0 31 + -1f = -7 + 0 31 + -1f = -7 Add '-31' to each side of the equation. 31 + -31 + -1f = -7 + -31 Combine like terms: 31 + -31 = 0 0 + -1f = -7 + -31 -1f = -7 + -31 Combine like terms: -7 + -31 = -38 -1f = -38 Divide each side by '-1'. f = 38 Simplifying f = 38
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