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