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Simplifying 2k + -6 = -2k + -16 + -2 Reorder the terms: -6 + 2k = -2k + -16 + -2 Reorder the terms: -6 + 2k = -16 + -2 + -2k Combine like terms: -16 + -2 = -18 -6 + 2k = -18 + -2k Solving -6 + 2k = -18 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. -6 + 2k + 2k = -18 + -2k + 2k Combine like terms: 2k + 2k = 4k -6 + 4k = -18 + -2k + 2k Combine like terms: -2k + 2k = 0 -6 + 4k = -18 + 0 -6 + 4k = -18 Add '6' to each side of the equation. -6 + 6 + 4k = -18 + 6 Combine like terms: -6 + 6 = 0 0 + 4k = -18 + 6 4k = -18 + 6 Combine like terms: -18 + 6 = -12 4k = -12 Divide each side by '4'. k = -3 Simplifying k = -3
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