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Simplifying 3(j + 2) = 2j + -4 Reorder the terms: 3(2 + j) = 2j + -4 (2 * 3 + j * 3) = 2j + -4 (6 + 3j) = 2j + -4 Reorder the terms: 6 + 3j = -4 + 2j Solving 6 + 3j = -4 + 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. 6 + 3j + -2j = -4 + 2j + -2j Combine like terms: 3j + -2j = 1j 6 + 1j = -4 + 2j + -2j Combine like terms: 2j + -2j = 0 6 + 1j = -4 + 0 6 + 1j = -4 Add '-6' to each side of the equation. 6 + -6 + 1j = -4 + -6 Combine like terms: 6 + -6 = 0 0 + 1j = -4 + -6 1j = -4 + -6 Combine like terms: -4 + -6 = -10 1j = -10 Divide each side by '1'. j = -10 Simplifying j = -10
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