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Simplifying 5k + 4 + (6 + -2m) = 0 Remove parenthesis around (6 + -2m) 5k + 4 + 6 + -2m = 0 Reorder the terms: 4 + 6 + 5k + -2m = 0 Combine like terms: 4 + 6 = 10 10 + 5k + -2m = 0 Solving 10 + 5k + -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 + 5k + -10 + -2m = 0 + -10 Reorder the terms: 10 + -10 + 5k + -2m = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 5k + -2m = 0 + -10 5k + -2m = 0 + -10 Combine like terms: 0 + -10 = -10 5k + -2m = -10 Add '2m' to each side of the equation. 5k + -2m + 2m = -10 + 2m Combine like terms: -2m + 2m = 0 5k + 0 = -10 + 2m 5k = -10 + 2m Divide each side by '5'. k = -2 + 0.4m Simplifying k = -2 + 0.4m
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