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Simplifying 4k + 12 = 3m + -31 Reorder the terms: 12 + 4k = 3m + -31 Reorder the terms: 12 + 4k = -31 + 3m Solving 12 + 4k = -31 + 3m Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 4k = -31 + -12 + 3m Combine like terms: 12 + -12 = 0 0 + 4k = -31 + -12 + 3m 4k = -31 + -12 + 3m Combine like terms: -31 + -12 = -43 4k = -43 + 3m Divide each side by '4'. k = -10.75 + 0.75m Simplifying k = -10.75 + 0.75m
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