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Simplifying 4j + -5 = 5j + 12 + -5 Reorder the terms: -5 + 4j = 5j + 12 + -5 Reorder the terms: -5 + 4j = 12 + -5 + 5j Combine like terms: 12 + -5 = 7 -5 + 4j = 7 + 5j Solving -5 + 4j = 7 + 5j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-5j' to each side of the equation. -5 + 4j + -5j = 7 + 5j + -5j Combine like terms: 4j + -5j = -1j -5 + -1j = 7 + 5j + -5j Combine like terms: 5j + -5j = 0 -5 + -1j = 7 + 0 -5 + -1j = 7 Add '5' to each side of the equation. -5 + 5 + -1j = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -1j = 7 + 5 -1j = 7 + 5 Combine like terms: 7 + 5 = 12 -1j = 12 Divide each side by '-1'. j = -12 Simplifying j = -12
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