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Simplifying 9(k + 6) + 18 = -19k + -9k + -2 Reorder the terms: 9(6 + k) + 18 = -19k + -9k + -2 (6 * 9 + k * 9) + 18 = -19k + -9k + -2 (54 + 9k) + 18 = -19k + -9k + -2 Reorder the terms: 54 + 18 + 9k = -19k + -9k + -2 Combine like terms: 54 + 18 = 72 72 + 9k = -19k + -9k + -2 Reorder the terms: 72 + 9k = -2 + -19k + -9k Combine like terms: -19k + -9k = -28k 72 + 9k = -2 + -28k Solving 72 + 9k = -2 + -28k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '28k' to each side of the equation. 72 + 9k + 28k = -2 + -28k + 28k Combine like terms: 9k + 28k = 37k 72 + 37k = -2 + -28k + 28k Combine like terms: -28k + 28k = 0 72 + 37k = -2 + 0 72 + 37k = -2 Add '-72' to each side of the equation. 72 + -72 + 37k = -2 + -72 Combine like terms: 72 + -72 = 0 0 + 37k = -2 + -72 37k = -2 + -72 Combine like terms: -2 + -72 = -74 37k = -74 Divide each side by '37'. k = -2 Simplifying k = -2
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