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Simplifying 6(k + -2) + -6 = 4k + -1(3k + -2) Reorder the terms: 6(-2 + k) + -6 = 4k + -1(3k + -2) (-2 * 6 + k * 6) + -6 = 4k + -1(3k + -2) (-12 + 6k) + -6 = 4k + -1(3k + -2) Reorder the terms: -12 + -6 + 6k = 4k + -1(3k + -2) Combine like terms: -12 + -6 = -18 -18 + 6k = 4k + -1(3k + -2) Reorder the terms: -18 + 6k = 4k + -1(-2 + 3k) -18 + 6k = 4k + (-2 * -1 + 3k * -1) -18 + 6k = 4k + (2 + -3k) Reorder the terms: -18 + 6k = 2 + 4k + -3k Combine like terms: 4k + -3k = 1k -18 + 6k = 2 + 1k Solving -18 + 6k = 2 + 1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -18 + 6k + -1k = 2 + 1k + -1k Combine like terms: 6k + -1k = 5k -18 + 5k = 2 + 1k + -1k Combine like terms: 1k + -1k = 0 -18 + 5k = 2 + 0 -18 + 5k = 2 Add '18' to each side of the equation. -18 + 18 + 5k = 2 + 18 Combine like terms: -18 + 18 = 0 0 + 5k = 2 + 18 5k = 2 + 18 Combine like terms: 2 + 18 = 20 5k = 20 Divide each side by '5'. k = 4 Simplifying k = 4
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