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Simplifying 12(5j + -11) = 112 + j Reorder the terms: 12(-11 + 5j) = 112 + j (-11 * 12 + 5j * 12) = 112 + j (-132 + 60j) = 112 + j Solving -132 + 60j = 112 + j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-1j' to each side of the equation. -132 + 60j + -1j = 112 + j + -1j Combine like terms: 60j + -1j = 59j -132 + 59j = 112 + j + -1j Combine like terms: j + -1j = 0 -132 + 59j = 112 + 0 -132 + 59j = 112 Add '132' to each side of the equation. -132 + 132 + 59j = 112 + 132 Combine like terms: -132 + 132 = 0 0 + 59j = 112 + 132 59j = 112 + 132 Combine like terms: 112 + 132 = 244 59j = 244 Divide each side by '59'. j = 4.13559322 Simplifying j = 4.13559322
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