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Simplifying 7 + -19j + 11j = 2(-13j + 13) + 19j Combine like terms: -19j + 11j = -8j 7 + -8j = 2(-13j + 13) + 19j Reorder the terms: 7 + -8j = 2(13 + -13j) + 19j 7 + -8j = (13 * 2 + -13j * 2) + 19j 7 + -8j = (26 + -26j) + 19j Combine like terms: -26j + 19j = -7j 7 + -8j = 26 + -7j Solving 7 + -8j = 26 + -7j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '7j' to each side of the equation. 7 + -8j + 7j = 26 + -7j + 7j Combine like terms: -8j + 7j = -1j 7 + -1j = 26 + -7j + 7j Combine like terms: -7j + 7j = 0 7 + -1j = 26 + 0 7 + -1j = 26 Add '-7' to each side of the equation. 7 + -7 + -1j = 26 + -7 Combine like terms: 7 + -7 = 0 0 + -1j = 26 + -7 -1j = 26 + -7 Combine like terms: 26 + -7 = 19 -1j = 19 Divide each side by '-1'. j = -19 Simplifying j = -19
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