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Simplifying 8j + -10 = 5j + 6.5 Reorder the terms: -10 + 8j = 5j + 6.5 Reorder the terms: -10 + 8j = 6.5 + 5j Solving -10 + 8j = 6.5 + 5j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-5j' to each side of the equation. -10 + 8j + -5j = 6.5 + 5j + -5j Combine like terms: 8j + -5j = 3j -10 + 3j = 6.5 + 5j + -5j Combine like terms: 5j + -5j = 0 -10 + 3j = 6.5 + 0 -10 + 3j = 6.5 Add '10' to each side of the equation. -10 + 10 + 3j = 6.5 + 10 Combine like terms: -10 + 10 = 0 0 + 3j = 6.5 + 10 3j = 6.5 + 10 Combine like terms: 6.5 + 10 = 16.5 3j = 16.5 Divide each side by '3'. j = 5.5 Simplifying j = 5.5
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