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Simplifying 4j + -3 = -2j + 45 Reorder the terms: -3 + 4j = -2j + 45 Reorder the terms: -3 + 4j = 45 + -2j Solving -3 + 4j = 45 + -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. -3 + 4j + 2j = 45 + -2j + 2j Combine like terms: 4j + 2j = 6j -3 + 6j = 45 + -2j + 2j Combine like terms: -2j + 2j = 0 -3 + 6j = 45 + 0 -3 + 6j = 45 Add '3' to each side of the equation. -3 + 3 + 6j = 45 + 3 Combine like terms: -3 + 3 = 0 0 + 6j = 45 + 3 6j = 45 + 3 Combine like terms: 45 + 3 = 48 6j = 48 Divide each side by '6'. j = 8 Simplifying j = 8
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