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Simplifying 3(j + 4) = -2j + -8 Reorder the terms: 3(4 + j) = -2j + -8 (4 * 3 + j * 3) = -2j + -8 (12 + 3j) = -2j + -8 Reorder the terms: 12 + 3j = -8 + -2j Solving 12 + 3j = -8 + -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. 12 + 3j + 2j = -8 + -2j + 2j Combine like terms: 3j + 2j = 5j 12 + 5j = -8 + -2j + 2j Combine like terms: -2j + 2j = 0 12 + 5j = -8 + 0 12 + 5j = -8 Add '-12' to each side of the equation. 12 + -12 + 5j = -8 + -12 Combine like terms: 12 + -12 = 0 0 + 5j = -8 + -12 5j = -8 + -12 Combine like terms: -8 + -12 = -20 5j = -20 Divide each side by '5'. j = -4 Simplifying j = -4
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