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Simplifying 7j + 62 = 27j + -78 Reorder the terms: 62 + 7j = 27j + -78 Reorder the terms: 62 + 7j = -78 + 27j Solving 62 + 7j = -78 + 27j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-27j' to each side of the equation. 62 + 7j + -27j = -78 + 27j + -27j Combine like terms: 7j + -27j = -20j 62 + -20j = -78 + 27j + -27j Combine like terms: 27j + -27j = 0 62 + -20j = -78 + 0 62 + -20j = -78 Add '-62' to each side of the equation. 62 + -62 + -20j = -78 + -62 Combine like terms: 62 + -62 = 0 0 + -20j = -78 + -62 -20j = -78 + -62 Combine like terms: -78 + -62 = -140 -20j = -140 Divide each side by '-20'. j = 7 Simplifying j = 7
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