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Simplifying 5(j + 2) + -9 = -17 + -1j Reorder the terms: 5(2 + j) + -9 = -17 + -1j (2 * 5 + j * 5) + -9 = -17 + -1j (10 + 5j) + -9 = -17 + -1j Reorder the terms: 10 + -9 + 5j = -17 + -1j Combine like terms: 10 + -9 = 1 1 + 5j = -17 + -1j Solving 1 + 5j = -17 + -1j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add 'j' to each side of the equation. 1 + 5j + j = -17 + -1j + j Combine like terms: 5j + j = 6j 1 + 6j = -17 + -1j + j Combine like terms: -1j + j = 0 1 + 6j = -17 + 0 1 + 6j = -17 Add '-1' to each side of the equation. 1 + -1 + 6j = -17 + -1 Combine like terms: 1 + -1 = 0 0 + 6j = -17 + -1 6j = -17 + -1 Combine like terms: -17 + -1 = -18 6j = -18 Divide each side by '6'. j = -3 Simplifying j = -3
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