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Simplifying -31 + 9k = 2(8k + -3) Reorder the terms: -31 + 9k = 2(-3 + 8k) -31 + 9k = (-3 * 2 + 8k * 2) -31 + 9k = (-6 + 16k) Solving -31 + 9k = -6 + 16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16k' to each side of the equation. -31 + 9k + -16k = -6 + 16k + -16k Combine like terms: 9k + -16k = -7k -31 + -7k = -6 + 16k + -16k Combine like terms: 16k + -16k = 0 -31 + -7k = -6 + 0 -31 + -7k = -6 Add '31' to each side of the equation. -31 + 31 + -7k = -6 + 31 Combine like terms: -31 + 31 = 0 0 + -7k = -6 + 31 -7k = -6 + 31 Combine like terms: -6 + 31 = 25 -7k = 25 Divide each side by '-7'. k = -3.571428571 Simplifying k = -3.571428571
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