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Simplifying 8(k + -9) + -1(7k + -3) = 3 Reorder the terms: 8(-9 + k) + -1(7k + -3) = 3 (-9 * 8 + k * 8) + -1(7k + -3) = 3 (-72 + 8k) + -1(7k + -3) = 3 Reorder the terms: -72 + 8k + -1(-3 + 7k) = 3 -72 + 8k + (-3 * -1 + 7k * -1) = 3 -72 + 8k + (3 + -7k) = 3 Reorder the terms: -72 + 3 + 8k + -7k = 3 Combine like terms: -72 + 3 = -69 -69 + 8k + -7k = 3 Combine like terms: 8k + -7k = 1k -69 + 1k = 3 Solving -69 + 1k = 3 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '69' to each side of the equation. -69 + 69 + 1k = 3 + 69 Combine like terms: -69 + 69 = 0 0 + 1k = 3 + 69 1k = 3 + 69 Combine like terms: 3 + 69 = 72 1k = 72 Divide each side by '1'. k = 72 Simplifying k = 72
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