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Simplifying -10j + 19 + 19 = -18j + -18 Reorder the terms: 19 + 19 + -10j = -18j + -18 Combine like terms: 19 + 19 = 38 38 + -10j = -18j + -18 Reorder the terms: 38 + -10j = -18 + -18j Solving 38 + -10j = -18 + -18j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '18j' to each side of the equation. 38 + -10j + 18j = -18 + -18j + 18j Combine like terms: -10j + 18j = 8j 38 + 8j = -18 + -18j + 18j Combine like terms: -18j + 18j = 0 38 + 8j = -18 + 0 38 + 8j = -18 Add '-38' to each side of the equation. 38 + -38 + 8j = -18 + -38 Combine like terms: 38 + -38 = 0 0 + 8j = -18 + -38 8j = -18 + -38 Combine like terms: -18 + -38 = -56 8j = -56 Divide each side by '8'. j = -7 Simplifying j = -7
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