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Simplifying 1 + -7 = 20 + j + (-11) Combine like terms: 1 + -7 = -6 -6 = 20 + j + (-11) -6 = 20 + j + -11 Reorder the terms: -6 = 20 + -11 + j Combine like terms: 20 + -11 = 9 -6 = 9 + j Solving -6 = 9 + j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-1j' to each side of the equation. -6 + -1j = 9 + j + -1j Combine like terms: j + -1j = 0 -6 + -1j = 9 + 0 -6 + -1j = 9 Add '6' to each side of the equation. -6 + 6 + -1j = 9 + 6 Combine like terms: -6 + 6 = 0 0 + -1j = 9 + 6 -1j = 9 + 6 Combine like terms: 9 + 6 = 15 -1j = 15 Divide each side by '-1'. j = -15 Simplifying j = -15
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