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Simplifying 5 + -1(-2j + -5) = j + 8 Reorder the terms: 5 + -1(-5 + -2j) = j + 8 5 + (-5 * -1 + -2j * -1) = j + 8 5 + (5 + 2j) = j + 8 Combine like terms: 5 + 5 = 10 10 + 2j = j + 8 Reorder the terms: 10 + 2j = 8 + j Solving 10 + 2j = 8 + j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-1j' to each side of the equation. 10 + 2j + -1j = 8 + j + -1j Combine like terms: 2j + -1j = 1j 10 + 1j = 8 + j + -1j Combine like terms: j + -1j = 0 10 + 1j = 8 + 0 10 + 1j = 8 Add '-10' to each side of the equation. 10 + -10 + 1j = 8 + -10 Combine like terms: 10 + -10 = 0 0 + 1j = 8 + -10 1j = 8 + -10 Combine like terms: 8 + -10 = -2 1j = -2 Divide each side by '1'. j = -2 Simplifying j = -2
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