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Simplifying -1j + 10 = 6j + -10 + -8 Reorder the terms: 10 + -1j = 6j + -10 + -8 Reorder the terms: 10 + -1j = -10 + -8 + 6j Combine like terms: -10 + -8 = -18 10 + -1j = -18 + 6j Solving 10 + -1j = -18 + 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. 10 + -1j + -6j = -18 + 6j + -6j Combine like terms: -1j + -6j = -7j 10 + -7j = -18 + 6j + -6j Combine like terms: 6j + -6j = 0 10 + -7j = -18 + 0 10 + -7j = -18 Add '-10' to each side of the equation. 10 + -10 + -7j = -18 + -10 Combine like terms: 10 + -10 = 0 0 + -7j = -18 + -10 -7j = -18 + -10 Combine like terms: -18 + -10 = -28 -7j = -28 Divide each side by '-7'. j = 4 Simplifying j = 4
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