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Simplifying 6(-9j + -18) = 20j + -2(18 + 4) Reorder the terms: 6(-18 + -9j) = 20j + -2(18 + 4) (-18 * 6 + -9j * 6) = 20j + -2(18 + 4) (-108 + -54j) = 20j + -2(18 + 4) Combine like terms: 18 + 4 = 22 -108 + -54j = 20j + -2(22) Multiply -2 * 22 -108 + -54j = 20j + -44 Reorder the terms: -108 + -54j = -44 + 20j Solving -108 + -54j = -44 + 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. -108 + -54j + -20j = -44 + 20j + -20j Combine like terms: -54j + -20j = -74j -108 + -74j = -44 + 20j + -20j Combine like terms: 20j + -20j = 0 -108 + -74j = -44 + 0 -108 + -74j = -44 Add '108' to each side of the equation. -108 + 108 + -74j = -44 + 108 Combine like terms: -108 + 108 = 0 0 + -74j = -44 + 108 -74j = -44 + 108 Combine like terms: -44 + 108 = 64 -74j = 64 Divide each side by '-74'. j = -0.8648648649 Simplifying j = -0.8648648649
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