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Simplifying 5j + -8 = 2j + 7 Reorder the terms: -8 + 5j = 2j + 7 Reorder the terms: -8 + 5j = 7 + 2j Solving -8 + 5j = 7 + 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. -8 + 5j + -2j = 7 + 2j + -2j Combine like terms: 5j + -2j = 3j -8 + 3j = 7 + 2j + -2j Combine like terms: 2j + -2j = 0 -8 + 3j = 7 + 0 -8 + 3j = 7 Add '8' to each side of the equation. -8 + 8 + 3j = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 3j = 7 + 8 3j = 7 + 8 Combine like terms: 7 + 8 = 15 3j = 15 Divide each side by '3'. j = 5 Simplifying j = 5
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