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Simplifying 3j + 4 = 2(j + 3) Reorder the terms: 4 + 3j = 2(j + 3) Reorder the terms: 4 + 3j = 2(3 + j) 4 + 3j = (3 * 2 + j * 2) 4 + 3j = (6 + 2j) Solving 4 + 3j = 6 + 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 + 3j + -2j = 6 + 2j + -2j Combine like terms: 3j + -2j = 1j 4 + 1j = 6 + 2j + -2j Combine like terms: 2j + -2j = 0 4 + 1j = 6 + 0 4 + 1j = 6 Add '-4' to each side of the equation. 4 + -4 + 1j = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 1j = 6 + -4 1j = 6 + -4 Combine like terms: 6 + -4 = 2 1j = 2 Divide each side by '1'. j = 2 Simplifying j = 2
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