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Simplifying 6k + 13 = k + -1 + -1 Reorder the terms: 13 + 6k = k + -1 + -1 Reorder the terms: 13 + 6k = -1 + -1 + k Combine like terms: -1 + -1 = -2 13 + 6k = -2 + k Solving 13 + 6k = -2 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 13 + 6k + -1k = -2 + k + -1k Combine like terms: 6k + -1k = 5k 13 + 5k = -2 + k + -1k Combine like terms: k + -1k = 0 13 + 5k = -2 + 0 13 + 5k = -2 Add '-13' to each side of the equation. 13 + -13 + 5k = -2 + -13 Combine like terms: 13 + -13 = 0 0 + 5k = -2 + -13 5k = -2 + -13 Combine like terms: -2 + -13 = -15 5k = -15 Divide each side by '5'. k = -3 Simplifying k = -3
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