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Simplifying 37 + k = 3(-7k + 5) Reorder the terms: 37 + k = 3(5 + -7k) 37 + k = (5 * 3 + -7k * 3) 37 + k = (15 + -21k) Solving 37 + k = 15 + -21k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '21k' to each side of the equation. 37 + k + 21k = 15 + -21k + 21k Combine like terms: k + 21k = 22k 37 + 22k = 15 + -21k + 21k Combine like terms: -21k + 21k = 0 37 + 22k = 15 + 0 37 + 22k = 15 Add '-37' to each side of the equation. 37 + -37 + 22k = 15 + -37 Combine like terms: 37 + -37 = 0 0 + 22k = 15 + -37 22k = 15 + -37 Combine like terms: 15 + -37 = -22 22k = -22 Divide each side by '22'. k = -1 Simplifying k = -1
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