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Simplifying 13j + -100 = 7j + -274 Reorder the terms: -100 + 13j = 7j + -274 Reorder the terms: -100 + 13j = -274 + 7j Solving -100 + 13j = -274 + 7j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-7j' to each side of the equation. -100 + 13j + -7j = -274 + 7j + -7j Combine like terms: 13j + -7j = 6j -100 + 6j = -274 + 7j + -7j Combine like terms: 7j + -7j = 0 -100 + 6j = -274 + 0 -100 + 6j = -274 Add '100' to each side of the equation. -100 + 100 + 6j = -274 + 100 Combine like terms: -100 + 100 = 0 0 + 6j = -274 + 100 6j = -274 + 100 Combine like terms: -274 + 100 = -174 6j = -174 Divide each side by '6'. j = -29 Simplifying j = -29
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