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Simplifying 8f + -1(f + 5) = 3f + 11 Reorder the terms: 8f + -1(5 + f) = 3f + 11 8f + (5 * -1 + f * -1) = 3f + 11 8f + (-5 + -1f) = 3f + 11 Reorder the terms: -5 + 8f + -1f = 3f + 11 Combine like terms: 8f + -1f = 7f -5 + 7f = 3f + 11 Reorder the terms: -5 + 7f = 11 + 3f Solving -5 + 7f = 11 + 3f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-3f' to each side of the equation. -5 + 7f + -3f = 11 + 3f + -3f Combine like terms: 7f + -3f = 4f -5 + 4f = 11 + 3f + -3f Combine like terms: 3f + -3f = 0 -5 + 4f = 11 + 0 -5 + 4f = 11 Add '5' to each side of the equation. -5 + 5 + 4f = 11 + 5 Combine like terms: -5 + 5 = 0 0 + 4f = 11 + 5 4f = 11 + 5 Combine like terms: 11 + 5 = 16 4f = 16 Divide each side by '4'. f = 4 Simplifying f = 4
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