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Simplifying 5j + -2 = 8j + 1 Reorder the terms: -2 + 5j = 8j + 1 Reorder the terms: -2 + 5j = 1 + 8j Solving -2 + 5j = 1 + 8j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-8j' to each side of the equation. -2 + 5j + -8j = 1 + 8j + -8j Combine like terms: 5j + -8j = -3j -2 + -3j = 1 + 8j + -8j Combine like terms: 8j + -8j = 0 -2 + -3j = 1 + 0 -2 + -3j = 1 Add '2' to each side of the equation. -2 + 2 + -3j = 1 + 2 Combine like terms: -2 + 2 = 0 0 + -3j = 1 + 2 -3j = 1 + 2 Combine like terms: 1 + 2 = 3 -3j = 3 Divide each side by '-3'. j = -1 Simplifying j = -1
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