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Simplifying 8j + -15 = 3j + 55 Reorder the terms: -15 + 8j = 3j + 55 Reorder the terms: -15 + 8j = 55 + 3j Solving -15 + 8j = 55 + 3j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-3j' to each side of the equation. -15 + 8j + -3j = 55 + 3j + -3j Combine like terms: 8j + -3j = 5j -15 + 5j = 55 + 3j + -3j Combine like terms: 3j + -3j = 0 -15 + 5j = 55 + 0 -15 + 5j = 55 Add '15' to each side of the equation. -15 + 15 + 5j = 55 + 15 Combine like terms: -15 + 15 = 0 0 + 5j = 55 + 15 5j = 55 + 15 Combine like terms: 55 + 15 = 70 5j = 70 Divide each side by '5'. j = 14 Simplifying j = 14
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