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Simplifying 7(k + -9) + 2 = 23 Reorder the terms: 7(-9 + k) + 2 = 23 (-9 * 7 + k * 7) + 2 = 23 (-63 + 7k) + 2 = 23 Reorder the terms: -63 + 2 + 7k = 23 Combine like terms: -63 + 2 = -61 -61 + 7k = 23 Solving -61 + 7k = 23 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '61' to each side of the equation. -61 + 61 + 7k = 23 + 61 Combine like terms: -61 + 61 = 0 0 + 7k = 23 + 61 7k = 23 + 61 Combine like terms: 23 + 61 = 84 7k = 84 Divide each side by '7'. k = 12 Simplifying k = 12
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