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Simplifying -13 = k + 1 + -3k Reorder the terms: -13 = 1 + k + -3k Combine like terms: k + -3k = -2k -13 = 1 + -2k Solving -13 = 1 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. -13 + 2k = 1 + -2k + 2k Combine like terms: -2k + 2k = 0 -13 + 2k = 1 + 0 -13 + 2k = 1 Add '13' to each side of the equation. -13 + 13 + 2k = 1 + 13 Combine like terms: -13 + 13 = 0 0 + 2k = 1 + 13 2k = 1 + 13 Combine like terms: 1 + 13 = 14 2k = 14 Divide each side by '2'. k = 7 Simplifying k = 7
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