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Simplifying 1 + -3k = 13 + 4k Solving 1 + -3k = 13 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 1 + -3k + -4k = 13 + 4k + -4k Combine like terms: -3k + -4k = -7k 1 + -7k = 13 + 4k + -4k Combine like terms: 4k + -4k = 0 1 + -7k = 13 + 0 1 + -7k = 13 Add '-1' to each side of the equation. 1 + -1 + -7k = 13 + -1 Combine like terms: 1 + -1 = 0 0 + -7k = 13 + -1 -7k = 13 + -1 Combine like terms: 13 + -1 = 12 -7k = 12 Divide each side by '-7'. k = -1.714285714 Simplifying k = -1.714285714
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