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Simplifying -8(j + -12) = j + 24 Reorder the terms: -8(-12 + j) = j + 24 (-12 * -8 + j * -8) = j + 24 (96 + -8j) = j + 24 Reorder the terms: 96 + -8j = 24 + j Solving 96 + -8j = 24 + 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. 96 + -8j + -1j = 24 + j + -1j Combine like terms: -8j + -1j = -9j 96 + -9j = 24 + j + -1j Combine like terms: j + -1j = 0 96 + -9j = 24 + 0 96 + -9j = 24 Add '-96' to each side of the equation. 96 + -96 + -9j = 24 + -96 Combine like terms: 96 + -96 = 0 0 + -9j = 24 + -96 -9j = 24 + -96 Combine like terms: 24 + -96 = -72 -9j = -72 Divide each side by '-9'. j = 8 Simplifying j = 8
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