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Simplifying 2j + -3 = 15j + -12j + -17 Reorder the terms: -3 + 2j = 15j + -12j + -17 Reorder the terms: -3 + 2j = -17 + 15j + -12j Combine like terms: 15j + -12j = 3j -3 + 2j = -17 + 3j Solving -3 + 2j = -17 + 3j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-3j' to each side of the equation. -3 + 2j + -3j = -17 + 3j + -3j Combine like terms: 2j + -3j = -1j -3 + -1j = -17 + 3j + -3j Combine like terms: 3j + -3j = 0 -3 + -1j = -17 + 0 -3 + -1j = -17 Add '3' to each side of the equation. -3 + 3 + -1j = -17 + 3 Combine like terms: -3 + 3 = 0 0 + -1j = -17 + 3 -1j = -17 + 3 Combine like terms: -17 + 3 = -14 -1j = -14 Divide each side by '-1'. j = 14 Simplifying j = 14
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