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Simplifying 8(4j + -4) = -4k + -32 Reorder the terms: 8(-4 + 4j) = -4k + -32 (-4 * 8 + 4j * 8) = -4k + -32 (-32 + 32j) = -4k + -32 Reorder the terms: -32 + 32j = -32 + -4k Add '32' to each side of the equation. -32 + 32 + 32j = -32 + 32 + -4k Combine like terms: -32 + 32 = 0 0 + 32j = -32 + 32 + -4k 32j = -32 + 32 + -4k Combine like terms: -32 + 32 = 0 32j = 0 + -4k 32j = -4k Solving 32j = -4k Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Divide each side by '32'. j = -0.125k Simplifying j = -0.125k
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