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Simplifying 9(2k + 1) = -4 + 19k Reorder the terms: 9(1 + 2k) = -4 + 19k (1 * 9 + 2k * 9) = -4 + 19k (9 + 18k) = -4 + 19k Solving 9 + 18k = -4 + 19k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-19k' to each side of the equation. 9 + 18k + -19k = -4 + 19k + -19k Combine like terms: 18k + -19k = -1k 9 + -1k = -4 + 19k + -19k Combine like terms: 19k + -19k = 0 9 + -1k = -4 + 0 9 + -1k = -4 Add '-9' to each side of the equation. 9 + -9 + -1k = -4 + -9 Combine like terms: 9 + -9 = 0 0 + -1k = -4 + -9 -1k = -4 + -9 Combine like terms: -4 + -9 = -13 -1k = -13 Divide each side by '-1'. k = 13 Simplifying k = 13
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