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Simplifying -3(-1j + -10) = 2(10j + 4) + -19j Reorder the terms: -3(-10 + -1j) = 2(10j + 4) + -19j (-10 * -3 + -1j * -3) = 2(10j + 4) + -19j (30 + 3j) = 2(10j + 4) + -19j Reorder the terms: 30 + 3j = 2(4 + 10j) + -19j 30 + 3j = (4 * 2 + 10j * 2) + -19j 30 + 3j = (8 + 20j) + -19j Combine like terms: 20j + -19j = 1j 30 + 3j = 8 + 1j Solving 30 + 3j = 8 + 1j 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. 30 + 3j + -1j = 8 + 1j + -1j Combine like terms: 3j + -1j = 2j 30 + 2j = 8 + 1j + -1j Combine like terms: 1j + -1j = 0 30 + 2j = 8 + 0 30 + 2j = 8 Add '-30' to each side of the equation. 30 + -30 + 2j = 8 + -30 Combine like terms: 30 + -30 = 0 0 + 2j = 8 + -30 2j = 8 + -30 Combine like terms: 8 + -30 = -22 2j = -22 Divide each side by '2'. j = -11 Simplifying j = -11
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