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Simplifying -8(-2j + -2) + 16 = 18j Reorder the terms: -8(-2 + -2j) + 16 = 18j (-2 * -8 + -2j * -8) + 16 = 18j (16 + 16j) + 16 = 18j Reorder the terms: 16 + 16 + 16j = 18j Combine like terms: 16 + 16 = 32 32 + 16j = 18j Solving 32 + 16j = 18j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-18j' to each side of the equation. 32 + 16j + -18j = 18j + -18j Combine like terms: 16j + -18j = -2j 32 + -2j = 18j + -18j Combine like terms: 18j + -18j = 0 32 + -2j = 0 Add '-32' to each side of the equation. 32 + -32 + -2j = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -2j = 0 + -32 -2j = 0 + -32 Combine like terms: 0 + -32 = -32 -2j = -32 Divide each side by '-2'. j = 16 Simplifying j = 16
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