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Simplifying 1 + 4k = -3k + 8 Reorder the terms: 1 + 4k = 8 + -3k Solving 1 + 4k = 8 + -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 + 4k + 3k = 8 + -3k + 3k Combine like terms: 4k + 3k = 7k 1 + 7k = 8 + -3k + 3k Combine like terms: -3k + 3k = 0 1 + 7k = 8 + 0 1 + 7k = 8 Add '-1' to each side of the equation. 1 + -1 + 7k = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 7k = 8 + -1 7k = 8 + -1 Combine like terms: 8 + -1 = 7 7k = 7 Divide each side by '7'. k = 1 Simplifying k = 1
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