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Simplifying -17 + -2j = 7 + -3(5 + -2j) -17 + -2j = 7 + (5 * -3 + -2j * -3) -17 + -2j = 7 + (-15 + 6j) Combine like terms: 7 + -15 = -8 -17 + -2j = -8 + 6j Solving -17 + -2j = -8 + 6j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-6j' to each side of the equation. -17 + -2j + -6j = -8 + 6j + -6j Combine like terms: -2j + -6j = -8j -17 + -8j = -8 + 6j + -6j Combine like terms: 6j + -6j = 0 -17 + -8j = -8 + 0 -17 + -8j = -8 Add '17' to each side of the equation. -17 + 17 + -8j = -8 + 17 Combine like terms: -17 + 17 = 0 0 + -8j = -8 + 17 -8j = -8 + 17 Combine like terms: -8 + 17 = 9 -8j = 9 Divide each side by '-8'. j = -1.125 Simplifying j = -1.125
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