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Simplifying 6(k + -3) + -6 = 3k + -1(2k + -1) Reorder the terms: 6(-3 + k) + -6 = 3k + -1(2k + -1) (-3 * 6 + k * 6) + -6 = 3k + -1(2k + -1) (-18 + 6k) + -6 = 3k + -1(2k + -1) Reorder the terms: -18 + -6 + 6k = 3k + -1(2k + -1) Combine like terms: -18 + -6 = -24 -24 + 6k = 3k + -1(2k + -1) Reorder the terms: -24 + 6k = 3k + -1(-1 + 2k) -24 + 6k = 3k + (-1 * -1 + 2k * -1) -24 + 6k = 3k + (1 + -2k) Reorder the terms: -24 + 6k = 1 + 3k + -2k Combine like terms: 3k + -2k = 1k -24 + 6k = 1 + 1k Solving -24 + 6k = 1 + 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. -24 + 6k + -1k = 1 + 1k + -1k Combine like terms: 6k + -1k = 5k -24 + 5k = 1 + 1k + -1k Combine like terms: 1k + -1k = 0 -24 + 5k = 1 + 0 -24 + 5k = 1 Add '24' to each side of the equation. -24 + 24 + 5k = 1 + 24 Combine like terms: -24 + 24 = 0 0 + 5k = 1 + 24 5k = 1 + 24 Combine like terms: 1 + 24 = 25 5k = 25 Divide each side by '5'. k = 5 Simplifying k = 5
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