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Simplifying -7j + 40 = 6j + 27 Reorder the terms: 40 + -7j = 6j + 27 Reorder the terms: 40 + -7j = 27 + 6j Solving 40 + -7j = 27 + 6j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-6j' to each side of the equation. 40 + -7j + -6j = 27 + 6j + -6j Combine like terms: -7j + -6j = -13j 40 + -13j = 27 + 6j + -6j Combine like terms: 6j + -6j = 0 40 + -13j = 27 + 0 40 + -13j = 27 Add '-40' to each side of the equation. 40 + -40 + -13j = 27 + -40 Combine like terms: 40 + -40 = 0 0 + -13j = 27 + -40 -13j = 27 + -40 Combine like terms: 27 + -40 = -13 -13j = -13 Divide each side by '-13'. j = 1 Simplifying j = 1
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