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Simplifying 6(k + -2) + -6 = 6K + -1(5k + -1) Reorder the terms: 6(-2 + k) + -6 = 6K + -1(5k + -1) (-2 * 6 + k * 6) + -6 = 6K + -1(5k + -1) (-12 + 6k) + -6 = 6K + -1(5k + -1) Reorder the terms: -12 + -6 + 6k = 6K + -1(5k + -1) Combine like terms: -12 + -6 = -18 -18 + 6k = 6K + -1(5k + -1) Reorder the terms: -18 + 6k = 6K + -1(-1 + 5k) -18 + 6k = 6K + (-1 * -1 + 5k * -1) -18 + 6k = 6K + (1 + -5k) Reorder the terms: -18 + 6k = 1 + 6K + -5k Solving -18 + 6k = 1 + 6K + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -18 + 6k + 5k = 1 + 6K + -5k + 5k Combine like terms: 6k + 5k = 11k -18 + 11k = 1 + 6K + -5k + 5k Combine like terms: -5k + 5k = 0 -18 + 11k = 1 + 6K + 0 -18 + 11k = 1 + 6K Add '18' to each side of the equation. -18 + 18 + 11k = 1 + 18 + 6K Combine like terms: -18 + 18 = 0 0 + 11k = 1 + 18 + 6K 11k = 1 + 18 + 6K Combine like terms: 1 + 18 = 19 11k = 19 + 6K Divide each side by '11'. k = 1.727272727 + 0.5454545455K Simplifying k = 1.727272727 + 0.5454545455K
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