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Simplifying 6(k + -2) = 3k + -6 Reorder the terms: 6(-2 + k) = 3k + -6 (-2 * 6 + k * 6) = 3k + -6 (-12 + 6k) = 3k + -6 Reorder the terms: -12 + 6k = -6 + 3k Solving -12 + 6k = -6 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -12 + 6k + -3k = -6 + 3k + -3k Combine like terms: 6k + -3k = 3k -12 + 3k = -6 + 3k + -3k Combine like terms: 3k + -3k = 0 -12 + 3k = -6 + 0 -12 + 3k = -6 Add '12' to each side of the equation. -12 + 12 + 3k = -6 + 12 Combine like terms: -12 + 12 = 0 0 + 3k = -6 + 12 3k = -6 + 12 Combine like terms: -6 + 12 = 6 3k = 6 Divide each side by '3'. k = 2 Simplifying k = 2
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