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Simplifying -2(j + 6) = 3 + 3j Reorder the terms: -2(6 + j) = 3 + 3j (6 * -2 + j * -2) = 3 + 3j (-12 + -2j) = 3 + 3j Solving -12 + -2j = 3 + 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. -12 + -2j + -3j = 3 + 3j + -3j Combine like terms: -2j + -3j = -5j -12 + -5j = 3 + 3j + -3j Combine like terms: 3j + -3j = 0 -12 + -5j = 3 + 0 -12 + -5j = 3 Add '12' to each side of the equation. -12 + 12 + -5j = 3 + 12 Combine like terms: -12 + 12 = 0 0 + -5j = 3 + 12 -5j = 3 + 12 Combine like terms: 3 + 12 = 15 -5j = 15 Divide each side by '-5'. j = -3 Simplifying j = -3
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