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Simplifying 13k + -57 = 2(3k + 3) Reorder the terms: -57 + 13k = 2(3k + 3) Reorder the terms: -57 + 13k = 2(3 + 3k) -57 + 13k = (3 * 2 + 3k * 2) -57 + 13k = (6 + 6k) Solving -57 + 13k = 6 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -57 + 13k + -6k = 6 + 6k + -6k Combine like terms: 13k + -6k = 7k -57 + 7k = 6 + 6k + -6k Combine like terms: 6k + -6k = 0 -57 + 7k = 6 + 0 -57 + 7k = 6 Add '57' to each side of the equation. -57 + 57 + 7k = 6 + 57 Combine like terms: -57 + 57 = 0 0 + 7k = 6 + 57 7k = 6 + 57 Combine like terms: 6 + 57 = 63 7k = 63 Divide each side by '7'. k = 9 Simplifying k = 9
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