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Simplifying -6k + -37 = -7(7k + -7) Reorder the terms: -37 + -6k = -7(7k + -7) Reorder the terms: -37 + -6k = -7(-7 + 7k) -37 + -6k = (-7 * -7 + 7k * -7) -37 + -6k = (49 + -49k) Solving -37 + -6k = 49 + -49k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '49k' to each side of the equation. -37 + -6k + 49k = 49 + -49k + 49k Combine like terms: -6k + 49k = 43k -37 + 43k = 49 + -49k + 49k Combine like terms: -49k + 49k = 0 -37 + 43k = 49 + 0 -37 + 43k = 49 Add '37' to each side of the equation. -37 + 37 + 43k = 49 + 37 Combine like terms: -37 + 37 = 0 0 + 43k = 49 + 37 43k = 49 + 37 Combine like terms: 49 + 37 = 86 43k = 86 Divide each side by '43'. k = 2 Simplifying k = 2
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