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Simplifying 3f + 1 = 4f + -2 Reorder the terms: 1 + 3f = 4f + -2 Reorder the terms: 1 + 3f = -2 + 4f Solving 1 + 3f = -2 + 4f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-4f' to each side of the equation. 1 + 3f + -4f = -2 + 4f + -4f Combine like terms: 3f + -4f = -1f 1 + -1f = -2 + 4f + -4f Combine like terms: 4f + -4f = 0 1 + -1f = -2 + 0 1 + -1f = -2 Add '-1' to each side of the equation. 1 + -1 + -1f = -2 + -1 Combine like terms: 1 + -1 = 0 0 + -1f = -2 + -1 -1f = -2 + -1 Combine like terms: -2 + -1 = -3 -1f = -3 Divide each side by '-1'. f = 3 Simplifying f = 3
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