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Simplifying (-2k) + -6 = 6k + 10 Reorder the terms: -6 + (-2k) = 6k + 10 Reorder the terms: -6 + (-2k) = 10 + 6k Solving -6 + (-2k) = 10 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -6 + (-2k) + -6k = 10 + 6k + -6k Combine like terms: (-2k) + -6k = -8k -6 + -8k = 10 + 6k + -6k Combine like terms: 6k + -6k = 0 -6 + -8k = 10 + 0 -6 + -8k = 10 Add '6' to each side of the equation. -6 + 6 + -8k = 10 + 6 Combine like terms: -6 + 6 = 0 0 + -8k = 10 + 6 -8k = 10 + 6 Combine like terms: 10 + 6 = 16 -8k = 16 Divide each side by '-8'. k = -2 Simplifying k = -2
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