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Simplifying 5 = 3(j + 4) Reorder the terms: 5 = 3(4 + j) 5 = (4 * 3 + j * 3) 5 = (12 + 3j) Solving 5 = 12 + 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. 5 + -3j = 12 + 3j + -3j Combine like terms: 3j + -3j = 0 5 + -3j = 12 + 0 5 + -3j = 12 Add '-5' to each side of the equation. 5 + -5 + -3j = 12 + -5 Combine like terms: 5 + -5 = 0 0 + -3j = 12 + -5 -3j = 12 + -5 Combine like terms: 12 + -5 = 7 -3j = 7 Divide each side by '-3'. j = -2.333333333 Simplifying j = -2.333333333
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