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Simplifying 9k + 1 = 4(k + 3) Reorder the terms: 1 + 9k = 4(k + 3) Reorder the terms: 1 + 9k = 4(3 + k) 1 + 9k = (3 * 4 + k * 4) 1 + 9k = (12 + 4k) Solving 1 + 9k = 12 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 1 + 9k + -4k = 12 + 4k + -4k Combine like terms: 9k + -4k = 5k 1 + 5k = 12 + 4k + -4k Combine like terms: 4k + -4k = 0 1 + 5k = 12 + 0 1 + 5k = 12 Add '-1' to each side of the equation. 1 + -1 + 5k = 12 + -1 Combine like terms: 1 + -1 = 0 0 + 5k = 12 + -1 5k = 12 + -1 Combine like terms: 12 + -1 = 11 5k = 11 Divide each side by '5'. k = 2.2 Simplifying k = 2.2
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