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Simplifying 13(k + -29) = 6(k + -85) Reorder the terms: 13(-29 + k) = 6(k + -85) (-29 * 13 + k * 13) = 6(k + -85) (-377 + 13k) = 6(k + -85) Reorder the terms: -377 + 13k = 6(-85 + k) -377 + 13k = (-85 * 6 + k * 6) -377 + 13k = (-510 + 6k) Solving -377 + 13k = -510 + 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. -377 + 13k + -6k = -510 + 6k + -6k Combine like terms: 13k + -6k = 7k -377 + 7k = -510 + 6k + -6k Combine like terms: 6k + -6k = 0 -377 + 7k = -510 + 0 -377 + 7k = -510 Add '377' to each side of the equation. -377 + 377 + 7k = -510 + 377 Combine like terms: -377 + 377 = 0 0 + 7k = -510 + 377 7k = -510 + 377 Combine like terms: -510 + 377 = -133 7k = -133 Divide each side by '7'. k = -19 Simplifying k = -19
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