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Simplifying -5j + 78 = 8j + -2 Reorder the terms: 78 + -5j = 8j + -2 Reorder the terms: 78 + -5j = -2 + 8j Solving 78 + -5j = -2 + 8j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-8j' to each side of the equation. 78 + -5j + -8j = -2 + 8j + -8j Combine like terms: -5j + -8j = -13j 78 + -13j = -2 + 8j + -8j Combine like terms: 8j + -8j = 0 78 + -13j = -2 + 0 78 + -13j = -2 Add '-78' to each side of the equation. 78 + -78 + -13j = -2 + -78 Combine like terms: 78 + -78 = 0 0 + -13j = -2 + -78 -13j = -2 + -78 Combine like terms: -2 + -78 = -80 -13j = -80 Divide each side by '-13'. j = 6.153846154 Simplifying j = 6.153846154
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