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Simplifying 6 + -3k = -1(k + 2) + -6 Reorder the terms: 6 + -3k = -1(2 + k) + -6 6 + -3k = (2 * -1 + k * -1) + -6 6 + -3k = (-2 + -1k) + -6 Reorder the terms: 6 + -3k = -2 + -6 + -1k Combine like terms: -2 + -6 = -8 6 + -3k = -8 + -1k Solving 6 + -3k = -8 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 6 + -3k + k = -8 + -1k + k Combine like terms: -3k + k = -2k 6 + -2k = -8 + -1k + k Combine like terms: -1k + k = 0 6 + -2k = -8 + 0 6 + -2k = -8 Add '-6' to each side of the equation. 6 + -6 + -2k = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -2k = -8 + -6 -2k = -8 + -6 Combine like terms: -8 + -6 = -14 -2k = -14 Divide each side by '-2'. k = 7 Simplifying k = 7
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