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Simplifying 7f + 12 = f + -6 Reorder the terms: 12 + 7f = f + -6 Reorder the terms: 12 + 7f = -6 + f Solving 12 + 7f = -6 + 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. 12 + 7f + -1f = -6 + f + -1f Combine like terms: 7f + -1f = 6f 12 + 6f = -6 + f + -1f Combine like terms: f + -1f = 0 12 + 6f = -6 + 0 12 + 6f = -6 Add '-12' to each side of the equation. 12 + -12 + 6f = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 6f = -6 + -12 6f = -6 + -12 Combine like terms: -6 + -12 = -18 6f = -18 Divide each side by '6'. f = -3 Simplifying f = -3
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