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Simplifying 5[f + 2] = 2[3 + -1f] Reorder the terms: 5[2 + f] = 2[3 + -1f] [2 * 5 + f * 5] = 2[3 + -1f] [10 + 5f] = 2[3 + -1f] 10 + 5f = [3 * 2 + -1f * 2] 10 + 5f = [6 + -2f] Solving 10 + 5f = 6 + -2f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '2f' to each side of the equation. 10 + 5f + 2f = 6 + -2f + 2f Combine like terms: 5f + 2f = 7f 10 + 7f = 6 + -2f + 2f Combine like terms: -2f + 2f = 0 10 + 7f = 6 + 0 10 + 7f = 6 Add '-10' to each side of the equation. 10 + -10 + 7f = 6 + -10 Combine like terms: 10 + -10 = 0 0 + 7f = 6 + -10 7f = 6 + -10 Combine like terms: 6 + -10 = -4 7f = -4 Divide each side by '7'. f = -0.5714285714 Simplifying f = -0.5714285714
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