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Simplifying k + -8 = 3k + 6 Reorder the terms: -8 + k = 3k + 6 Reorder the terms: -8 + k = 6 + 3k Solving -8 + k = 6 + 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 + k + -3k = 6 + 3k + -3k Combine like terms: k + -3k = -2k -8 + -2k = 6 + 3k + -3k Combine like terms: 3k + -3k = 0 -8 + -2k = 6 + 0 -8 + -2k = 6 Add '8' to each side of the equation. -8 + 8 + -2k = 6 + 8 Combine like terms: -8 + 8 = 0 0 + -2k = 6 + 8 -2k = 6 + 8 Combine like terms: 6 + 8 = 14 -2k = 14 Divide each side by '-2'. k = -7 Simplifying k = -7
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