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Simplifying -6(11j + 13) = 6(-12 + -12j) Reorder the terms: -6(13 + 11j) = 6(-12 + -12j) (13 * -6 + 11j * -6) = 6(-12 + -12j) (-78 + -66j) = 6(-12 + -12j) -78 + -66j = (-12 * 6 + -12j * 6) -78 + -66j = (-72 + -72j) Solving -78 + -66j = -72 + -72j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '72j' to each side of the equation. -78 + -66j + 72j = -72 + -72j + 72j Combine like terms: -66j + 72j = 6j -78 + 6j = -72 + -72j + 72j Combine like terms: -72j + 72j = 0 -78 + 6j = -72 + 0 -78 + 6j = -72 Add '78' to each side of the equation. -78 + 78 + 6j = -72 + 78 Combine like terms: -78 + 78 = 0 0 + 6j = -72 + 78 6j = -72 + 78 Combine like terms: -72 + 78 = 6 6j = 6 Divide each side by '6'. j = 1 Simplifying j = 1
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