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Simplifying -8k + -4(k + 2) = -8 + 6k Reorder the terms: -8k + -4(2 + k) = -8 + 6k -8k + (2 * -4 + k * -4) = -8 + 6k -8k + (-8 + -4k) = -8 + 6k Reorder the terms: -8 + -8k + -4k = -8 + 6k Combine like terms: -8k + -4k = -12k -8 + -12k = -8 + 6k Add '8' to each side of the equation. -8 + 8 + -12k = -8 + 8 + 6k Combine like terms: -8 + 8 = 0 0 + -12k = -8 + 8 + 6k -12k = -8 + 8 + 6k Combine like terms: -8 + 8 = 0 -12k = 0 + 6k -12k = 6k Solving -12k = 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -12k + -6k = 6k + -6k Combine like terms: -12k + -6k = -18k -18k = 6k + -6k Combine like terms: 6k + -6k = 0 -18k = 0 Divide each side by '-18'. k = 0 Simplifying k = 0
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