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Simplifying -4(-8k + -3) = -36 + 8k Reorder the terms: -4(-3 + -8k) = -36 + 8k (-3 * -4 + -8k * -4) = -36 + 8k (12 + 32k) = -36 + 8k Solving 12 + 32k = -36 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 12 + 32k + -8k = -36 + 8k + -8k Combine like terms: 32k + -8k = 24k 12 + 24k = -36 + 8k + -8k Combine like terms: 8k + -8k = 0 12 + 24k = -36 + 0 12 + 24k = -36 Add '-12' to each side of the equation. 12 + -12 + 24k = -36 + -12 Combine like terms: 12 + -12 = 0 0 + 24k = -36 + -12 24k = -36 + -12 Combine like terms: -36 + -12 = -48 24k = -48 Divide each side by '24'. k = -2 Simplifying k = -2
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