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Simplifying -1j + 10s + -1j + 12 + -8s = 0 Reorder the terms: 12 + -1j + -1j + 10s + -8s = 0 Combine like terms: -1j + -1j = -2j 12 + -2j + 10s + -8s = 0 Combine like terms: 10s + -8s = 2s 12 + -2j + 2s = 0 Solving 12 + -2j + 2s = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -2j + -12 + 2s = 0 + -12 Reorder the terms: 12 + -12 + -2j + 2s = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -2j + 2s = 0 + -12 -2j + 2s = 0 + -12 Combine like terms: 0 + -12 = -12 -2j + 2s = -12 Add '-2s' to each side of the equation. -2j + 2s + -2s = -12 + -2s Combine like terms: 2s + -2s = 0 -2j + 0 = -12 + -2s -2j = -12 + -2s Divide each side by '-2'. j = 6 + s Simplifying j = 6 + s
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