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Simplifying 6(-6j + -19) + -11 = 18 + -20j + 17 Reorder the terms: 6(-19 + -6j) + -11 = 18 + -20j + 17 (-19 * 6 + -6j * 6) + -11 = 18 + -20j + 17 (-114 + -36j) + -11 = 18 + -20j + 17 Reorder the terms: -114 + -11 + -36j = 18 + -20j + 17 Combine like terms: -114 + -11 = -125 -125 + -36j = 18 + -20j + 17 Reorder the terms: -125 + -36j = 18 + 17 + -20j Combine like terms: 18 + 17 = 35 -125 + -36j = 35 + -20j Solving -125 + -36j = 35 + -20j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '20j' to each side of the equation. -125 + -36j + 20j = 35 + -20j + 20j Combine like terms: -36j + 20j = -16j -125 + -16j = 35 + -20j + 20j Combine like terms: -20j + 20j = 0 -125 + -16j = 35 + 0 -125 + -16j = 35 Add '125' to each side of the equation. -125 + 125 + -16j = 35 + 125 Combine like terms: -125 + 125 = 0 0 + -16j = 35 + 125 -16j = 35 + 125 Combine like terms: 35 + 125 = 160 -16j = 160 Divide each side by '-16'. j = -10 Simplifying j = -10
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