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Simplifying 12 + -2k = 16 + 2k Solving 12 + -2k = 16 + 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. 12 + -2k + -2k = 16 + 2k + -2k Combine like terms: -2k + -2k = -4k 12 + -4k = 16 + 2k + -2k Combine like terms: 2k + -2k = 0 12 + -4k = 16 + 0 12 + -4k = 16 Add '-12' to each side of the equation. 12 + -12 + -4k = 16 + -12 Combine like terms: 12 + -12 = 0 0 + -4k = 16 + -12 -4k = 16 + -12 Combine like terms: 16 + -12 = 4 -4k = 4 Divide each side by '-4'. k = -1 Simplifying k = -1
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