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Simplifying 6 + 1 + 8j = 4j(4) + -7(4) Combine like terms: 6 + 1 = 7 7 + 8j = 4j(4) + -7(4) Reorder the terms for easier multiplication: 7 + 8j = 4 * 4j + -7(4) Multiply 4 * 4 7 + 8j = 16j + -7(4) Multiply -7 * 4 7 + 8j = 16j + -28 Reorder the terms: 7 + 8j = -28 + 16j Solving 7 + 8j = -28 + 16j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-16j' to each side of the equation. 7 + 8j + -16j = -28 + 16j + -16j Combine like terms: 8j + -16j = -8j 7 + -8j = -28 + 16j + -16j Combine like terms: 16j + -16j = 0 7 + -8j = -28 + 0 7 + -8j = -28 Add '-7' to each side of the equation. 7 + -7 + -8j = -28 + -7 Combine like terms: 7 + -7 = 0 0 + -8j = -28 + -7 -8j = -28 + -7 Combine like terms: -28 + -7 = -35 -8j = -35 Divide each side by '-8'. j = 4.375 Simplifying j = 4.375
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