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Simplifying 8j + -12 = 2j + 18 Reorder the terms: -12 + 8j = 2j + 18 Reorder the terms: -12 + 8j = 18 + 2j Solving -12 + 8j = 18 + 2j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-2j' to each side of the equation. -12 + 8j + -2j = 18 + 2j + -2j Combine like terms: 8j + -2j = 6j -12 + 6j = 18 + 2j + -2j Combine like terms: 2j + -2j = 0 -12 + 6j = 18 + 0 -12 + 6j = 18 Add '12' to each side of the equation. -12 + 12 + 6j = 18 + 12 Combine like terms: -12 + 12 = 0 0 + 6j = 18 + 12 6j = 18 + 12 Combine like terms: 18 + 12 = 30 6j = 30 Divide each side by '6'. j = 5 Simplifying j = 5
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