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Simplifying 1 + -5k = -13 + -3k Solving 1 + -5k = -13 + -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. 1 + -5k + 3k = -13 + -3k + 3k Combine like terms: -5k + 3k = -2k 1 + -2k = -13 + -3k + 3k Combine like terms: -3k + 3k = 0 1 + -2k = -13 + 0 1 + -2k = -13 Add '-1' to each side of the equation. 1 + -1 + -2k = -13 + -1 Combine like terms: 1 + -1 = 0 0 + -2k = -13 + -1 -2k = -13 + -1 Combine like terms: -13 + -1 = -14 -2k = -14 Divide each side by '-2'. k = 7 Simplifying k = 7
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