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Simplifying 5 + -1(1 + -2f) = 4(2f + 1) 5 + (1 * -1 + -2f * -1) = 4(2f + 1) 5 + (-1 + 2f) = 4(2f + 1) Combine like terms: 5 + -1 = 4 4 + 2f = 4(2f + 1) Reorder the terms: 4 + 2f = 4(1 + 2f) 4 + 2f = (1 * 4 + 2f * 4) 4 + 2f = (4 + 8f) Add '-4' to each side of the equation. 4 + -4 + 2f = 4 + -4 + 8f Combine like terms: 4 + -4 = 0 0 + 2f = 4 + -4 + 8f 2f = 4 + -4 + 8f Combine like terms: 4 + -4 = 0 2f = 0 + 8f 2f = 8f Solving 2f = 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. 2f + -8f = 8f + -8f Combine like terms: 2f + -8f = -6f -6f = 8f + -8f Combine like terms: 8f + -8f = 0 -6f = 0 Divide each side by '-6'. f = 0 Simplifying f = 0
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