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Simplifying 8j + -3 = 4j + 9j + -14 Reorder the terms: -3 + 8j = 4j + 9j + -14 Reorder the terms: -3 + 8j = -14 + 4j + 9j Combine like terms: 4j + 9j = 13j -3 + 8j = -14 + 13j Solving -3 + 8j = -14 + 13j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-13j' to each side of the equation. -3 + 8j + -13j = -14 + 13j + -13j Combine like terms: 8j + -13j = -5j -3 + -5j = -14 + 13j + -13j Combine like terms: 13j + -13j = 0 -3 + -5j = -14 + 0 -3 + -5j = -14 Add '3' to each side of the equation. -3 + 3 + -5j = -14 + 3 Combine like terms: -3 + 3 = 0 0 + -5j = -14 + 3 -5j = -14 + 3 Combine like terms: -14 + 3 = -11 -5j = -11 Divide each side by '-5'. j = 2.2 Simplifying j = 2.2
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