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Simplifying 3k + -1(1) = 7k + 2 Multiply -1 * 1 3k + -1 = 7k + 2 Reorder the terms: -1 + 3k = 7k + 2 Reorder the terms: -1 + 3k = 2 + 7k Solving -1 + 3k = 2 + 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. -1 + 3k + -7k = 2 + 7k + -7k Combine like terms: 3k + -7k = -4k -1 + -4k = 2 + 7k + -7k Combine like terms: 7k + -7k = 0 -1 + -4k = 2 + 0 -1 + -4k = 2 Add '1' to each side of the equation. -1 + 1 + -4k = 2 + 1 Combine like terms: -1 + 1 = 0 0 + -4k = 2 + 1 -4k = 2 + 1 Combine like terms: 2 + 1 = 3 -4k = 3 Divide each side by '-4'. k = -0.75 Simplifying k = -0.75
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