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Simplifying 3 + -1.42 = j + -8 Combine like terms: 3 + -1.42 = 1.58 1.58 = j + -8 Reorder the terms: 1.58 = -8 + j Solving 1.58 = -8 + 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. 1.58 + -1j = -8 + j + -1j Combine like terms: j + -1j = 0 1.58 + -1j = -8 + 0 1.58 + -1j = -8 Add '-1.58' to each side of the equation. 1.58 + -1.58 + -1j = -8 + -1.58 Combine like terms: 1.58 + -1.58 = 0.00 0.00 + -1j = -8 + -1.58 -1j = -8 + -1.58 Combine like terms: -8 + -1.58 = -9.58 -1j = -9.58 Divide each side by '-1'. j = 9.58 Simplifying j = 9.58
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