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Simplifying 8(3k + -9) = -23 + -7k Reorder the terms: 8(-9 + 3k) = -23 + -7k (-9 * 8 + 3k * 8) = -23 + -7k (-72 + 24k) = -23 + -7k Solving -72 + 24k = -23 + -7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7k' to each side of the equation. -72 + 24k + 7k = -23 + -7k + 7k Combine like terms: 24k + 7k = 31k -72 + 31k = -23 + -7k + 7k Combine like terms: -7k + 7k = 0 -72 + 31k = -23 + 0 -72 + 31k = -23 Add '72' to each side of the equation. -72 + 72 + 31k = -23 + 72 Combine like terms: -72 + 72 = 0 0 + 31k = -23 + 72 31k = -23 + 72 Combine like terms: -23 + 72 = 49 31k = 49 Divide each side by '31'. k = 1.580645161 Simplifying k = 1.580645161
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