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Simplifying 4(j + -3) = 23 + -3j Reorder the terms: 4(-3 + j) = 23 + -3j (-3 * 4 + j * 4) = 23 + -3j (-12 + 4j) = 23 + -3j Solving -12 + 4j = 23 + -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. -12 + 4j + 3j = 23 + -3j + 3j Combine like terms: 4j + 3j = 7j -12 + 7j = 23 + -3j + 3j Combine like terms: -3j + 3j = 0 -12 + 7j = 23 + 0 -12 + 7j = 23 Add '12' to each side of the equation. -12 + 12 + 7j = 23 + 12 Combine like terms: -12 + 12 = 0 0 + 7j = 23 + 12 7j = 23 + 12 Combine like terms: 23 + 12 = 35 7j = 35 Divide each side by '7'. j = 5 Simplifying j = 5
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