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Simplifying 14j + -6 = 7j + 43 Reorder the terms: -6 + 14j = 7j + 43 Reorder the terms: -6 + 14j = 43 + 7j Solving -6 + 14j = 43 + 7j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-7j' to each side of the equation. -6 + 14j + -7j = 43 + 7j + -7j Combine like terms: 14j + -7j = 7j -6 + 7j = 43 + 7j + -7j Combine like terms: 7j + -7j = 0 -6 + 7j = 43 + 0 -6 + 7j = 43 Add '6' to each side of the equation. -6 + 6 + 7j = 43 + 6 Combine like terms: -6 + 6 = 0 0 + 7j = 43 + 6 7j = 43 + 6 Combine like terms: 43 + 6 = 49 7j = 49 Divide each side by '7'. j = 7 Simplifying j = 7
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