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Simplifying 2(j + 1) = -1j + 8 Reorder the terms: 2(1 + j) = -1j + 8 (1 * 2 + j * 2) = -1j + 8 (2 + 2j) = -1j + 8 Reorder the terms: 2 + 2j = 8 + -1j Solving 2 + 2j = 8 + -1j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add 'j' to each side of the equation. 2 + 2j + j = 8 + -1j + j Combine like terms: 2j + j = 3j 2 + 3j = 8 + -1j + j Combine like terms: -1j + j = 0 2 + 3j = 8 + 0 2 + 3j = 8 Add '-2' to each side of the equation. 2 + -2 + 3j = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 3j = 8 + -2 3j = 8 + -2 Combine like terms: 8 + -2 = 6 3j = 6 Divide each side by '3'. j = 2 Simplifying j = 2
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