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Simplifying -11k + 6(k + -2) = -12(1 + -12k) + -8k Reorder the terms: -11k + 6(-2 + k) = -12(1 + -12k) + -8k -11k + (-2 * 6 + k * 6) = -12(1 + -12k) + -8k -11k + (-12 + 6k) = -12(1 + -12k) + -8k Reorder the terms: -12 + -11k + 6k = -12(1 + -12k) + -8k Combine like terms: -11k + 6k = -5k -12 + -5k = -12(1 + -12k) + -8k -12 + -5k = (1 * -12 + -12k * -12) + -8k -12 + -5k = (-12 + 144k) + -8k Combine like terms: 144k + -8k = 136k -12 + -5k = -12 + 136k Add '12' to each side of the equation. -12 + 12 + -5k = -12 + 12 + 136k Combine like terms: -12 + 12 = 0 0 + -5k = -12 + 12 + 136k -5k = -12 + 12 + 136k Combine like terms: -12 + 12 = 0 -5k = 0 + 136k -5k = 136k Solving -5k = 136k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-136k' to each side of the equation. -5k + -136k = 136k + -136k Combine like terms: -5k + -136k = -141k -141k = 136k + -136k Combine like terms: 136k + -136k = 0 -141k = 0 Divide each side by '-141'. k = 0 Simplifying k = 0
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