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Simplifying 16 + -2k = 32 + -4k Solving 16 + -2k = 32 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 16 + -2k + 4k = 32 + -4k + 4k Combine like terms: -2k + 4k = 2k 16 + 2k = 32 + -4k + 4k Combine like terms: -4k + 4k = 0 16 + 2k = 32 + 0 16 + 2k = 32 Add '-16' to each side of the equation. 16 + -16 + 2k = 32 + -16 Combine like terms: 16 + -16 = 0 0 + 2k = 32 + -16 2k = 32 + -16 Combine like terms: 32 + -16 = 16 2k = 16 Divide each side by '2'. k = 8 Simplifying k = 8
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