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Simplifying -6 + -2k = 3k + -11 Reorder the terms: -6 + -2k = -11 + 3k Solving -6 + -2k = -11 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -6 + -2k + -3k = -11 + 3k + -3k Combine like terms: -2k + -3k = -5k -6 + -5k = -11 + 3k + -3k Combine like terms: 3k + -3k = 0 -6 + -5k = -11 + 0 -6 + -5k = -11 Add '6' to each side of the equation. -6 + 6 + -5k = -11 + 6 Combine like terms: -6 + 6 = 0 0 + -5k = -11 + 6 -5k = -11 + 6 Combine like terms: -11 + 6 = -5 -5k = -5 Divide each side by '-5'. k = 1 Simplifying k = 1
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