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Simplifying 4 = -2(j + 6) Reorder the terms: 4 = -2(6 + j) 4 = (6 * -2 + j * -2) 4 = (-12 + -2j) Solving 4 = -12 + -2j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '2j' to each side of the equation. 4 + 2j = -12 + -2j + 2j Combine like terms: -2j + 2j = 0 4 + 2j = -12 + 0 4 + 2j = -12 Add '-4' to each side of the equation. 4 + -4 + 2j = -12 + -4 Combine like terms: 4 + -4 = 0 0 + 2j = -12 + -4 2j = -12 + -4 Combine like terms: -12 + -4 = -16 2j = -16 Divide each side by '2'. j = -8 Simplifying j = -8
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