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Simplifying 3(j + 4) = -2 + j Reorder the terms: 3(4 + j) = -2 + j (4 * 3 + j * 3) = -2 + j (12 + 3j) = -2 + j Solving 12 + 3j = -2 + 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. 12 + 3j + -1j = -2 + j + -1j Combine like terms: 3j + -1j = 2j 12 + 2j = -2 + j + -1j Combine like terms: j + -1j = 0 12 + 2j = -2 + 0 12 + 2j = -2 Add '-12' to each side of the equation. 12 + -12 + 2j = -2 + -12 Combine like terms: 12 + -12 = 0 0 + 2j = -2 + -12 2j = -2 + -12 Combine like terms: -2 + -12 = -14 2j = -14 Divide each side by '2'. j = -7 Simplifying j = -7
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