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Simplifying 8j + -3 + -2j = 3(j + -2) Reorder the terms: -3 + 8j + -2j = 3(j + -2) Combine like terms: 8j + -2j = 6j -3 + 6j = 3(j + -2) Reorder the terms: -3 + 6j = 3(-2 + j) -3 + 6j = (-2 * 3 + j * 3) -3 + 6j = (-6 + 3j) Solving -3 + 6j = -6 + 3j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-3j' to each side of the equation. -3 + 6j + -3j = -6 + 3j + -3j Combine like terms: 6j + -3j = 3j -3 + 3j = -6 + 3j + -3j Combine like terms: 3j + -3j = 0 -3 + 3j = -6 + 0 -3 + 3j = -6 Add '3' to each side of the equation. -3 + 3 + 3j = -6 + 3 Combine like terms: -3 + 3 = 0 0 + 3j = -6 + 3 3j = -6 + 3 Combine like terms: -6 + 3 = -3 3j = -3 Divide each side by '3'. j = -1 Simplifying j = -1
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