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Simplifying -6f + 12 = 2f + -11 Reorder the terms: 12 + -6f = 2f + -11 Reorder the terms: 12 + -6f = -11 + 2f Solving 12 + -6f = -11 + 2f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-2f' to each side of the equation. 12 + -6f + -2f = -11 + 2f + -2f Combine like terms: -6f + -2f = -8f 12 + -8f = -11 + 2f + -2f Combine like terms: 2f + -2f = 0 12 + -8f = -11 + 0 12 + -8f = -11 Add '-12' to each side of the equation. 12 + -12 + -8f = -11 + -12 Combine like terms: 12 + -12 = 0 0 + -8f = -11 + -12 -8f = -11 + -12 Combine like terms: -11 + -12 = -23 -8f = -23 Divide each side by '-8'. f = 2.875 Simplifying f = 2.875
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