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Simplifying 2m + -4k + 3 + -8m + 2 = 0 Reorder the terms: 3 + 2 + -4k + 2m + -8m = 0 Combine like terms: 3 + 2 = 5 5 + -4k + 2m + -8m = 0 Combine like terms: 2m + -8m = -6m 5 + -4k + -6m = 0 Solving 5 + -4k + -6m = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -4k + -5 + -6m = 0 + -5 Reorder the terms: 5 + -5 + -4k + -6m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4k + -6m = 0 + -5 -4k + -6m = 0 + -5 Combine like terms: 0 + -5 = -5 -4k + -6m = -5 Add '6m' to each side of the equation. -4k + -6m + 6m = -5 + 6m Combine like terms: -6m + 6m = 0 -4k + 0 = -5 + 6m -4k = -5 + 6m Divide each side by '-4'. k = 1.25 + -1.5m Simplifying k = 1.25 + -1.5m
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