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Simplifying 7k + -8 = 3k + 1 Reorder the terms: -8 + 7k = 3k + 1 Reorder the terms: -8 + 7k = 1 + 3k Solving -8 + 7k = 1 + 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. -8 + 7k + -3k = 1 + 3k + -3k Combine like terms: 7k + -3k = 4k -8 + 4k = 1 + 3k + -3k Combine like terms: 3k + -3k = 0 -8 + 4k = 1 + 0 -8 + 4k = 1 Add '8' to each side of the equation. -8 + 8 + 4k = 1 + 8 Combine like terms: -8 + 8 = 0 0 + 4k = 1 + 8 4k = 1 + 8 Combine like terms: 1 + 8 = 9 4k = 9 Divide each side by '4'. k = 2.25 Simplifying k = 2.25
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