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Simplifying 20j + -6 = 10j + 12j + -16 Reorder the terms: -6 + 20j = 10j + 12j + -16 Reorder the terms: -6 + 20j = -16 + 10j + 12j Combine like terms: 10j + 12j = 22j -6 + 20j = -16 + 22j Solving -6 + 20j = -16 + 22j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-22j' to each side of the equation. -6 + 20j + -22j = -16 + 22j + -22j Combine like terms: 20j + -22j = -2j -6 + -2j = -16 + 22j + -22j Combine like terms: 22j + -22j = 0 -6 + -2j = -16 + 0 -6 + -2j = -16 Add '6' to each side of the equation. -6 + 6 + -2j = -16 + 6 Combine like terms: -6 + 6 = 0 0 + -2j = -16 + 6 -2j = -16 + 6 Combine like terms: -16 + 6 = -10 -2j = -10 Divide each side by '-2'. j = 5 Simplifying j = 5
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