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Simplifying 37 + -7k = 4(-5k + -7) Reorder the terms: 37 + -7k = 4(-7 + -5k) 37 + -7k = (-7 * 4 + -5k * 4) 37 + -7k = (-28 + -20k) Solving 37 + -7k = -28 + -20k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '20k' to each side of the equation. 37 + -7k + 20k = -28 + -20k + 20k Combine like terms: -7k + 20k = 13k 37 + 13k = -28 + -20k + 20k Combine like terms: -20k + 20k = 0 37 + 13k = -28 + 0 37 + 13k = -28 Add '-37' to each side of the equation. 37 + -37 + 13k = -28 + -37 Combine like terms: 37 + -37 = 0 0 + 13k = -28 + -37 13k = -28 + -37 Combine like terms: -28 + -37 = -65 13k = -65 Divide each side by '13'. k = -5 Simplifying k = -5
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