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Simplifying -3(-5j + -2) + -15j = -14j + -12 + 11j Reorder the terms: -3(-2 + -5j) + -15j = -14j + -12 + 11j (-2 * -3 + -5j * -3) + -15j = -14j + -12 + 11j (6 + 15j) + -15j = -14j + -12 + 11j Combine like terms: 15j + -15j = 0 6 + 0 = -14j + -12 + 11j 6 = -14j + -12 + 11j Reorder the terms: 6 = -12 + -14j + 11j Combine like terms: -14j + 11j = -3j 6 = -12 + -3j Solving 6 = -12 + -3j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '3j' to each side of the equation. 6 + 3j = -12 + -3j + 3j Combine like terms: -3j + 3j = 0 6 + 3j = -12 + 0 6 + 3j = -12 Add '-6' to each side of the equation. 6 + -6 + 3j = -12 + -6 Combine like terms: 6 + -6 = 0 0 + 3j = -12 + -6 3j = -12 + -6 Combine like terms: -12 + -6 = -18 3j = -18 Divide each side by '3'. j = -6 Simplifying j = -6
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