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Simplifying 3f + 5 = 4f + -12 Reorder the terms: 5 + 3f = 4f + -12 Reorder the terms: 5 + 3f = -12 + 4f Solving 5 + 3f = -12 + 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. 5 + 3f + -4f = -12 + 4f + -4f Combine like terms: 3f + -4f = -1f 5 + -1f = -12 + 4f + -4f Combine like terms: 4f + -4f = 0 5 + -1f = -12 + 0 5 + -1f = -12 Add '-5' to each side of the equation. 5 + -5 + -1f = -12 + -5 Combine like terms: 5 + -5 = 0 0 + -1f = -12 + -5 -1f = -12 + -5 Combine like terms: -12 + -5 = -17 -1f = -17 Divide each side by '-1'. f = 17 Simplifying f = 17
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