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Simplifying -14 = -2(j + 16) Reorder the terms: -14 = -2(16 + j) -14 = (16 * -2 + j * -2) -14 = (-32 + -2j) Solving -14 = -32 + -2j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '2j' to each side of the equation. -14 + 2j = -32 + -2j + 2j Combine like terms: -2j + 2j = 0 -14 + 2j = -32 + 0 -14 + 2j = -32 Add '14' to each side of the equation. -14 + 14 + 2j = -32 + 14 Combine like terms: -14 + 14 = 0 0 + 2j = -32 + 14 2j = -32 + 14 Combine like terms: -32 + 14 = -18 2j = -18 Divide each side by '2'. j = -9 Simplifying j = -9
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