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Simplifying (6 + -5j) + -1(12 + 7j) = 0 Remove parenthesis around (6 + -5j) 6 + -5j + -1(12 + 7j) = 0 6 + -5j + (12 * -1 + 7j * -1) = 0 6 + -5j + (-12 + -7j) = 0 Reorder the terms: 6 + -12 + -5j + -7j = 0 Combine like terms: 6 + -12 = -6 -6 + -5j + -7j = 0 Combine like terms: -5j + -7j = -12j -6 + -12j = 0 Solving -6 + -12j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -12j = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -12j = 0 + 6 -12j = 0 + 6 Combine like terms: 0 + 6 = 6 -12j = 6 Divide each side by '-12'. j = -0.5 Simplifying j = -0.5
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