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Simplifying f + 8 = 5f + -12 Reorder the terms: 8 + f = 5f + -12 Reorder the terms: 8 + f = -12 + 5f Solving 8 + f = -12 + 5f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-5f' to each side of the equation. 8 + f + -5f = -12 + 5f + -5f Combine like terms: f + -5f = -4f 8 + -4f = -12 + 5f + -5f Combine like terms: 5f + -5f = 0 8 + -4f = -12 + 0 8 + -4f = -12 Add '-8' to each side of the equation. 8 + -8 + -4f = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -4f = -12 + -8 -4f = -12 + -8 Combine like terms: -12 + -8 = -20 -4f = -20 Divide each side by '-4'. f = 5 Simplifying f = 5
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