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Simplifying -2j + 12j + 10j + 12j + 18 = -6 Reorder the terms: 18 + -2j + 12j + 10j + 12j = -6 Combine like terms: -2j + 12j = 10j 18 + 10j + 10j + 12j = -6 Combine like terms: 10j + 10j = 20j 18 + 20j + 12j = -6 Combine like terms: 20j + 12j = 32j 18 + 32j = -6 Solving 18 + 32j = -6 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 32j = -6 + -18 Combine like terms: 18 + -18 = 0 0 + 32j = -6 + -18 32j = -6 + -18 Combine like terms: -6 + -18 = -24 32j = -24 Divide each side by '32'. j = -0.75 Simplifying j = -0.75
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