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Simplifying -6k + 13 = -3k + -5 Reorder the terms: 13 + -6k = -3k + -5 Reorder the terms: 13 + -6k = -5 + -3k Solving 13 + -6k = -5 + -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. 13 + -6k + 3k = -5 + -3k + 3k Combine like terms: -6k + 3k = -3k 13 + -3k = -5 + -3k + 3k Combine like terms: -3k + 3k = 0 13 + -3k = -5 + 0 13 + -3k = -5 Add '-13' to each side of the equation. 13 + -13 + -3k = -5 + -13 Combine like terms: 13 + -13 = 0 0 + -3k = -5 + -13 -3k = -5 + -13 Combine like terms: -5 + -13 = -18 -3k = -18 Divide each side by '-3'. k = 6 Simplifying k = 6
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