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Simplifying 13 = -6k + -5 + 6 Reorder the terms: 13 = -5 + 6 + -6k Combine like terms: -5 + 6 = 1 13 = 1 + -6k Solving 13 = 1 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. 13 + 6k = 1 + -6k + 6k Combine like terms: -6k + 6k = 0 13 + 6k = 1 + 0 13 + 6k = 1 Add '-13' to each side of the equation. 13 + -13 + 6k = 1 + -13 Combine like terms: 13 + -13 = 0 0 + 6k = 1 + -13 6k = 1 + -13 Combine like terms: 1 + -13 = -12 6k = -12 Divide each side by '6'. k = -2 Simplifying k = -2
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