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Simplifying 2(-6 + 5j) = -2(-8 + -12j) (-6 * 2 + 5j * 2) = -2(-8 + -12j) (-12 + 10j) = -2(-8 + -12j) -12 + 10j = (-8 * -2 + -12j * -2) -12 + 10j = (16 + 24j) Solving -12 + 10j = 16 + 24j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-24j' to each side of the equation. -12 + 10j + -24j = 16 + 24j + -24j Combine like terms: 10j + -24j = -14j -12 + -14j = 16 + 24j + -24j Combine like terms: 24j + -24j = 0 -12 + -14j = 16 + 0 -12 + -14j = 16 Add '12' to each side of the equation. -12 + 12 + -14j = 16 + 12 Combine like terms: -12 + 12 = 0 0 + -14j = 16 + 12 -14j = 16 + 12 Combine like terms: 16 + 12 = 28 -14j = 28 Divide each side by '-14'. j = -2 Simplifying j = -2
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