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Simplifying -6(-8 + -4k) + -2 = -10 + -4k (-8 * -6 + -4k * -6) + -2 = -10 + -4k (48 + 24k) + -2 = -10 + -4k Reorder the terms: 48 + -2 + 24k = -10 + -4k Combine like terms: 48 + -2 = 46 46 + 24k = -10 + -4k Solving 46 + 24k = -10 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 46 + 24k + 4k = -10 + -4k + 4k Combine like terms: 24k + 4k = 28k 46 + 28k = -10 + -4k + 4k Combine like terms: -4k + 4k = 0 46 + 28k = -10 + 0 46 + 28k = -10 Add '-46' to each side of the equation. 46 + -46 + 28k = -10 + -46 Combine like terms: 46 + -46 = 0 0 + 28k = -10 + -46 28k = -10 + -46 Combine like terms: -10 + -46 = -56 28k = -56 Divide each side by '28'. k = -2 Simplifying k = -2
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