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Simplifying 18j + -4(3j + 1) = -14 + 7 + 9j Reorder the terms: 18j + -4(1 + 3j) = -14 + 7 + 9j 18j + (1 * -4 + 3j * -4) = -14 + 7 + 9j 18j + (-4 + -12j) = -14 + 7 + 9j Reorder the terms: -4 + 18j + -12j = -14 + 7 + 9j Combine like terms: 18j + -12j = 6j -4 + 6j = -14 + 7 + 9j Combine like terms: -14 + 7 = -7 -4 + 6j = -7 + 9j Solving -4 + 6j = -7 + 9j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-9j' to each side of the equation. -4 + 6j + -9j = -7 + 9j + -9j Combine like terms: 6j + -9j = -3j -4 + -3j = -7 + 9j + -9j Combine like terms: 9j + -9j = 0 -4 + -3j = -7 + 0 -4 + -3j = -7 Add '4' to each side of the equation. -4 + 4 + -3j = -7 + 4 Combine like terms: -4 + 4 = 0 0 + -3j = -7 + 4 -3j = -7 + 4 Combine like terms: -7 + 4 = -3 -3j = -3 Divide each side by '-3'. j = 1 Simplifying j = 1
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