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Simplifying 8m + 6 + -3k + 18 + 2m + -5k = 0 Reorder the terms: 6 + 18 + -3k + -5k + 8m + 2m = 0 Combine like terms: 6 + 18 = 24 24 + -3k + -5k + 8m + 2m = 0 Combine like terms: -3k + -5k = -8k 24 + -8k + 8m + 2m = 0 Combine like terms: 8m + 2m = 10m 24 + -8k + 10m = 0 Solving 24 + -8k + 10m = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -8k + -24 + 10m = 0 + -24 Reorder the terms: 24 + -24 + -8k + 10m = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -8k + 10m = 0 + -24 -8k + 10m = 0 + -24 Combine like terms: 0 + -24 = -24 -8k + 10m = -24 Add '-10m' to each side of the equation. -8k + 10m + -10m = -24 + -10m Combine like terms: 10m + -10m = 0 -8k + 0 = -24 + -10m -8k = -24 + -10m Divide each side by '-8'. k = 3 + 1.25m Simplifying k = 3 + 1.25m
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