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Simplifying 47 + 2k = 31 + -2k Solving 47 + 2k = 31 + -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. 47 + 2k + 2k = 31 + -2k + 2k Combine like terms: 2k + 2k = 4k 47 + 4k = 31 + -2k + 2k Combine like terms: -2k + 2k = 0 47 + 4k = 31 + 0 47 + 4k = 31 Add '-47' to each side of the equation. 47 + -47 + 4k = 31 + -47 Combine like terms: 47 + -47 = 0 0 + 4k = 31 + -47 4k = 31 + -47 Combine like terms: 31 + -47 = -16 4k = -16 Divide each side by '4'. k = -4 Simplifying k = -4
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