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Simplifying 8j + 30 = 14j + -6 Reorder the terms: 30 + 8j = 14j + -6 Reorder the terms: 30 + 8j = -6 + 14j Solving 30 + 8j = -6 + 14j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-14j' to each side of the equation. 30 + 8j + -14j = -6 + 14j + -14j Combine like terms: 8j + -14j = -6j 30 + -6j = -6 + 14j + -14j Combine like terms: 14j + -14j = 0 30 + -6j = -6 + 0 30 + -6j = -6 Add '-30' to each side of the equation. 30 + -30 + -6j = -6 + -30 Combine like terms: 30 + -30 = 0 0 + -6j = -6 + -30 -6j = -6 + -30 Combine like terms: -6 + -30 = -36 -6j = -36 Divide each side by '-6'. j = 6 Simplifying j = 6
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