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Simplifying 15k + -6 = 22k + -97 Reorder the terms: -6 + 15k = 22k + -97 Reorder the terms: -6 + 15k = -97 + 22k Solving -6 + 15k = -97 + 22k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-22k' to each side of the equation. -6 + 15k + -22k = -97 + 22k + -22k Combine like terms: 15k + -22k = -7k -6 + -7k = -97 + 22k + -22k Combine like terms: 22k + -22k = 0 -6 + -7k = -97 + 0 -6 + -7k = -97 Add '6' to each side of the equation. -6 + 6 + -7k = -97 + 6 Combine like terms: -6 + 6 = 0 0 + -7k = -97 + 6 -7k = -97 + 6 Combine like terms: -97 + 6 = -91 -7k = -91 Divide each side by '-7'. k = 13 Simplifying k = 13
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