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Simplifying 6(k + -2) + -4k = 6 + -4k Reorder the terms: 6(-2 + k) + -4k = 6 + -4k (-2 * 6 + k * 6) + -4k = 6 + -4k (-12 + 6k) + -4k = 6 + -4k Combine like terms: 6k + -4k = 2k -12 + 2k = 6 + -4k Solving -12 + 2k = 6 + -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. -12 + 2k + 4k = 6 + -4k + 4k Combine like terms: 2k + 4k = 6k -12 + 6k = 6 + -4k + 4k Combine like terms: -4k + 4k = 0 -12 + 6k = 6 + 0 -12 + 6k = 6 Add '12' to each side of the equation. -12 + 12 + 6k = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 6k = 6 + 12 6k = 6 + 12 Combine like terms: 6 + 12 = 18 6k = 18 Divide each side by '6'. k = 3 Simplifying k = 3
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