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Simplifying -11 + 2f + 8 = 12 + -1f Reorder the terms: -11 + 8 + 2f = 12 + -1f Combine like terms: -11 + 8 = -3 -3 + 2f = 12 + -1f Solving -3 + 2f = 12 + -1f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add 'f' to each side of the equation. -3 + 2f + f = 12 + -1f + f Combine like terms: 2f + f = 3f -3 + 3f = 12 + -1f + f Combine like terms: -1f + f = 0 -3 + 3f = 12 + 0 -3 + 3f = 12 Add '3' to each side of the equation. -3 + 3 + 3f = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 3f = 12 + 3 3f = 12 + 3 Combine like terms: 12 + 3 = 15 3f = 15 Divide each side by '3'. f = 5 Simplifying f = 5
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