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Simplifying 5k + 7 + -1k + 2m + 3 = 0 Reorder the terms: 7 + 3 + 5k + -1k + 2m = 0 Combine like terms: 7 + 3 = 10 10 + 5k + -1k + 2m = 0 Combine like terms: 5k + -1k = 4k 10 + 4k + 2m = 0 Solving 10 + 4k + 2m = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 4k + -10 + 2m = 0 + -10 Reorder the terms: 10 + -10 + 4k + 2m = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 4k + 2m = 0 + -10 4k + 2m = 0 + -10 Combine like terms: 0 + -10 = -10 4k + 2m = -10 Add '-2m' to each side of the equation. 4k + 2m + -2m = -10 + -2m Combine like terms: 2m + -2m = 0 4k + 0 = -10 + -2m 4k = -10 + -2m Divide each side by '4'. k = -2.5 + -0.5m Simplifying k = -2.5 + -0.5m
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