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Simplifying -3j + -3(-13j + -15) = -18 + 17j + 6 Reorder the terms: -3j + -3(-15 + -13j) = -18 + 17j + 6 -3j + (-15 * -3 + -13j * -3) = -18 + 17j + 6 -3j + (45 + 39j) = -18 + 17j + 6 Reorder the terms: 45 + -3j + 39j = -18 + 17j + 6 Combine like terms: -3j + 39j = 36j 45 + 36j = -18 + 17j + 6 Reorder the terms: 45 + 36j = -18 + 6 + 17j Combine like terms: -18 + 6 = -12 45 + 36j = -12 + 17j Solving 45 + 36j = -12 + 17j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-17j' to each side of the equation. 45 + 36j + -17j = -12 + 17j + -17j Combine like terms: 36j + -17j = 19j 45 + 19j = -12 + 17j + -17j Combine like terms: 17j + -17j = 0 45 + 19j = -12 + 0 45 + 19j = -12 Add '-45' to each side of the equation. 45 + -45 + 19j = -12 + -45 Combine like terms: 45 + -45 = 0 0 + 19j = -12 + -45 19j = -12 + -45 Combine like terms: -12 + -45 = -57 19j = -57 Divide each side by '19'. j = -3 Simplifying j = -3
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