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Simplifying 8 + -6k = -3k + -13 Reorder the terms: 8 + -6k = -13 + -3k Solving 8 + -6k = -13 + -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. 8 + -6k + 3k = -13 + -3k + 3k Combine like terms: -6k + 3k = -3k 8 + -3k = -13 + -3k + 3k Combine like terms: -3k + 3k = 0 8 + -3k = -13 + 0 8 + -3k = -13 Add '-8' to each side of the equation. 8 + -8 + -3k = -13 + -8 Combine like terms: 8 + -8 = 0 0 + -3k = -13 + -8 -3k = -13 + -8 Combine like terms: -13 + -8 = -21 -3k = -21 Divide each side by '-3'. k = 7 Simplifying k = 7
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