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Simplifying 6(f + 5) + 8 = 2j Reorder the terms: 6(5 + f) + 8 = 2j (5 * 6 + f * 6) + 8 = 2j (30 + 6f) + 8 = 2j Reorder the terms: 30 + 8 + 6f = 2j Combine like terms: 30 + 8 = 38 38 + 6f = 2j Solving 38 + 6f = 2j Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 6f = -38 + 2j Combine like terms: 38 + -38 = 0 0 + 6f = -38 + 2j 6f = -38 + 2j Divide each side by '6'. f = -6.333333333 + 0.3333333333j Simplifying f = -6.333333333 + 0.3333333333j
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