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Simplifying 5(j + -4) + 76 = -3j Reorder the terms: 5(-4 + j) + 76 = -3j (-4 * 5 + j * 5) + 76 = -3j (-20 + 5j) + 76 = -3j Reorder the terms: -20 + 76 + 5j = -3j Combine like terms: -20 + 76 = 56 56 + 5j = -3j Solving 56 + 5j = -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. 56 + 5j + 3j = -3j + 3j Combine like terms: 5j + 3j = 8j 56 + 8j = -3j + 3j Combine like terms: -3j + 3j = 0 56 + 8j = 0 Add '-56' to each side of the equation. 56 + -56 + 8j = 0 + -56 Combine like terms: 56 + -56 = 0 0 + 8j = 0 + -56 8j = 0 + -56 Combine like terms: 0 + -56 = -56 8j = -56 Divide each side by '8'. j = -7 Simplifying j = -7
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