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Simplifying 5j + -30 = j + 6 Reorder the terms: -30 + 5j = j + 6 Reorder the terms: -30 + 5j = 6 + j Solving -30 + 5j = 6 + j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-1j' to each side of the equation. -30 + 5j + -1j = 6 + j + -1j Combine like terms: 5j + -1j = 4j -30 + 4j = 6 + j + -1j Combine like terms: j + -1j = 0 -30 + 4j = 6 + 0 -30 + 4j = 6 Add '30' to each side of the equation. -30 + 30 + 4j = 6 + 30 Combine like terms: -30 + 30 = 0 0 + 4j = 6 + 30 4j = 6 + 30 Combine like terms: 6 + 30 = 36 4j = 36 Divide each side by '4'. j = 9 Simplifying j = 9
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