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Simplifying 37 + -7k = -2(-5k + 7) Reorder the terms: 37 + -7k = -2(7 + -5k) 37 + -7k = (7 * -2 + -5k * -2) 37 + -7k = (-14 + 10k) Solving 37 + -7k = -14 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. 37 + -7k + -10k = -14 + 10k + -10k Combine like terms: -7k + -10k = -17k 37 + -17k = -14 + 10k + -10k Combine like terms: 10k + -10k = 0 37 + -17k = -14 + 0 37 + -17k = -14 Add '-37' to each side of the equation. 37 + -37 + -17k = -14 + -37 Combine like terms: 37 + -37 = 0 0 + -17k = -14 + -37 -17k = -14 + -37 Combine like terms: -14 + -37 = -51 -17k = -51 Divide each side by '-17'. k = 3 Simplifying k = 3
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