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Simplifying 2[3f + -1] = 4[f + -1] Reorder the terms: 2[-1 + 3f] = 4[f + -1] [-1 * 2 + 3f * 2] = 4[f + -1] [-2 + 6f] = 4[f + -1] Reorder the terms: -2 + 6f = 4[-1 + f] -2 + 6f = [-1 * 4 + f * 4] -2 + 6f = [-4 + 4f] Solving -2 + 6f = -4 + 4f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-4f' to each side of the equation. -2 + 6f + -4f = -4 + 4f + -4f Combine like terms: 6f + -4f = 2f -2 + 2f = -4 + 4f + -4f Combine like terms: 4f + -4f = 0 -2 + 2f = -4 + 0 -2 + 2f = -4 Add '2' to each side of the equation. -2 + 2 + 2f = -4 + 2 Combine like terms: -2 + 2 = 0 0 + 2f = -4 + 2 2f = -4 + 2 Combine like terms: -4 + 2 = -2 2f = -2 Divide each side by '2'. f = -1 Simplifying f = -1
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