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Simplifying 7(f + -1) = f + 5 Reorder the terms: 7(-1 + f) = f + 5 (-1 * 7 + f * 7) = f + 5 (-7 + 7f) = f + 5 Reorder the terms: -7 + 7f = 5 + f Solving -7 + 7f = 5 + 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. -7 + 7f + -1f = 5 + f + -1f Combine like terms: 7f + -1f = 6f -7 + 6f = 5 + f + -1f Combine like terms: f + -1f = 0 -7 + 6f = 5 + 0 -7 + 6f = 5 Add '7' to each side of the equation. -7 + 7 + 6f = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 6f = 5 + 7 6f = 5 + 7 Combine like terms: 5 + 7 = 12 6f = 12 Divide each side by '6'. f = 2 Simplifying f = 2
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