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Simplifying 11(j + -2) + -6(2 + -1j) + 2(j + -2) = 0 Reorder the terms: 11(-2 + j) + -6(2 + -1j) + 2(j + -2) = 0 (-2 * 11 + j * 11) + -6(2 + -1j) + 2(j + -2) = 0 (-22 + 11j) + -6(2 + -1j) + 2(j + -2) = 0 -22 + 11j + (2 * -6 + -1j * -6) + 2(j + -2) = 0 -22 + 11j + (-12 + 6j) + 2(j + -2) = 0 Reorder the terms: -22 + 11j + -12 + 6j + 2(-2 + j) = 0 -22 + 11j + -12 + 6j + (-2 * 2 + j * 2) = 0 -22 + 11j + -12 + 6j + (-4 + 2j) = 0 Reorder the terms: -22 + -12 + -4 + 11j + 6j + 2j = 0 Combine like terms: -22 + -12 = -34 -34 + -4 + 11j + 6j + 2j = 0 Combine like terms: -34 + -4 = -38 -38 + 11j + 6j + 2j = 0 Combine like terms: 11j + 6j = 17j -38 + 17j + 2j = 0 Combine like terms: 17j + 2j = 19j -38 + 19j = 0 Solving -38 + 19j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 19j = 0 + 38 Combine like terms: -38 + 38 = 0 0 + 19j = 0 + 38 19j = 0 + 38 Combine like terms: 0 + 38 = 38 19j = 38 Divide each side by '19'. j = 2 Simplifying j = 2
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