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Simplifying 5j + -6 = 2j + 12 Reorder the terms: -6 + 5j = 2j + 12 Reorder the terms: -6 + 5j = 12 + 2j Solving -6 + 5j = 12 + 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. -6 + 5j + -2j = 12 + 2j + -2j Combine like terms: 5j + -2j = 3j -6 + 3j = 12 + 2j + -2j Combine like terms: 2j + -2j = 0 -6 + 3j = 12 + 0 -6 + 3j = 12 Add '6' to each side of the equation. -6 + 6 + 3j = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 3j = 12 + 6 3j = 12 + 6 Combine like terms: 12 + 6 = 18 3j = 18 Divide each side by '3'. j = 6 Simplifying j = 6
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