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Simplifying 7k + -6 + -2k = 3x + -8 + 3k Reorder the terms: -6 + 7k + -2k = 3x + -8 + 3k Combine like terms: 7k + -2k = 5k -6 + 5k = 3x + -8 + 3k Reorder the terms: -6 + 5k = -8 + 3k + 3x Solving -6 + 5k = -8 + 3k + 3x 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. -6 + 5k + -3k = -8 + 3k + -3k + 3x Combine like terms: 5k + -3k = 2k -6 + 2k = -8 + 3k + -3k + 3x Combine like terms: 3k + -3k = 0 -6 + 2k = -8 + 0 + 3x -6 + 2k = -8 + 3x Add '6' to each side of the equation. -6 + 6 + 2k = -8 + 6 + 3x Combine like terms: -6 + 6 = 0 0 + 2k = -8 + 6 + 3x 2k = -8 + 6 + 3x Combine like terms: -8 + 6 = -2 2k = -2 + 3x Divide each side by '2'. k = -1 + 1.5x Simplifying k = -1 + 1.5x
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