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Simplifying 3 + -6(10j + -2) = -5(13j + 10) Reorder the terms: 3 + -6(-2 + 10j) = -5(13j + 10) 3 + (-2 * -6 + 10j * -6) = -5(13j + 10) 3 + (12 + -60j) = -5(13j + 10) Combine like terms: 3 + 12 = 15 15 + -60j = -5(13j + 10) Reorder the terms: 15 + -60j = -5(10 + 13j) 15 + -60j = (10 * -5 + 13j * -5) 15 + -60j = (-50 + -65j) Solving 15 + -60j = -50 + -65j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '65j' to each side of the equation. 15 + -60j + 65j = -50 + -65j + 65j Combine like terms: -60j + 65j = 5j 15 + 5j = -50 + -65j + 65j Combine like terms: -65j + 65j = 0 15 + 5j = -50 + 0 15 + 5j = -50 Add '-15' to each side of the equation. 15 + -15 + 5j = -50 + -15 Combine like terms: 15 + -15 = 0 0 + 5j = -50 + -15 5j = -50 + -15 Combine like terms: -50 + -15 = -65 5j = -65 Divide each side by '5'. j = -13 Simplifying j = -13
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