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Simplifying 37 + -5k = -1 + -6(-4 + 2k) 37 + -5k = -1 + (-4 * -6 + 2k * -6) 37 + -5k = -1 + (24 + -12k) Combine like terms: -1 + 24 = 23 37 + -5k = 23 + -12k Solving 37 + -5k = 23 + -12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12k' to each side of the equation. 37 + -5k + 12k = 23 + -12k + 12k Combine like terms: -5k + 12k = 7k 37 + 7k = 23 + -12k + 12k Combine like terms: -12k + 12k = 0 37 + 7k = 23 + 0 37 + 7k = 23 Add '-37' to each side of the equation. 37 + -37 + 7k = 23 + -37 Combine like terms: 37 + -37 = 0 0 + 7k = 23 + -37 7k = 23 + -37 Combine like terms: 23 + -37 = -14 7k = -14 Divide each side by '7'. k = -2 Simplifying k = -2
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