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Simplifying 4 + -7f = f + 12 Reorder the terms: 4 + -7f = 12 + f Solving 4 + -7f = 12 + f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-1f' to each side of the equation. 4 + -7f + -1f = 12 + f + -1f Combine like terms: -7f + -1f = -8f 4 + -8f = 12 + f + -1f Combine like terms: f + -1f = 0 4 + -8f = 12 + 0 4 + -8f = 12 Add '-4' to each side of the equation. 4 + -4 + -8f = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -8f = 12 + -4 -8f = 12 + -4 Combine like terms: 12 + -4 = 8 -8f = 8 Divide each side by '-8'. f = -1 Simplifying f = -1
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