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Simplifying 1 + -7k = 1 + 3k + 4k Combine like terms: 3k + 4k = 7k 1 + -7k = 1 + 7k Add '-1' to each side of the equation. 1 + -1 + -7k = 1 + -1 + 7k Combine like terms: 1 + -1 = 0 0 + -7k = 1 + -1 + 7k -7k = 1 + -1 + 7k Combine like terms: 1 + -1 = 0 -7k = 0 + 7k -7k = 7k Solving -7k = 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. -7k + -7k = 7k + -7k Combine like terms: -7k + -7k = -14k -14k = 7k + -7k Combine like terms: 7k + -7k = 0 -14k = 0 Divide each side by '-14'. k = 0 Simplifying k = 0
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