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Simplifying 13 + -1k = k + -7 Reorder the terms: 13 + -1k = -7 + k Solving 13 + -1k = -7 + 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 + -1k + -1k = -7 + k + -1k Combine like terms: -1k + -1k = -2k 13 + -2k = -7 + k + -1k Combine like terms: k + -1k = 0 13 + -2k = -7 + 0 13 + -2k = -7 Add '-13' to each side of the equation. 13 + -13 + -2k = -7 + -13 Combine like terms: 13 + -13 = 0 0 + -2k = -7 + -13 -2k = -7 + -13 Combine like terms: -7 + -13 = -20 -2k = -20 Divide each side by '-2'. k = 10 Simplifying k = 10
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