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Simplifying 6f + 12 = 8f + -6 Reorder the terms: 12 + 6f = 8f + -6 Reorder the terms: 12 + 6f = -6 + 8f Solving 12 + 6f = -6 + 8f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-8f' to each side of the equation. 12 + 6f + -8f = -6 + 8f + -8f Combine like terms: 6f + -8f = -2f 12 + -2f = -6 + 8f + -8f Combine like terms: 8f + -8f = 0 12 + -2f = -6 + 0 12 + -2f = -6 Add '-12' to each side of the equation. 12 + -12 + -2f = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -2f = -6 + -12 -2f = -6 + -12 Combine like terms: -6 + -12 = -18 -2f = -18 Divide each side by '-2'. f = 9 Simplifying f = 9
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