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Simplifying 1 = 3(4k + 3) + -4k Reorder the terms: 1 = 3(3 + 4k) + -4k 1 = (3 * 3 + 4k * 3) + -4k 1 = (9 + 12k) + -4k Combine like terms: 12k + -4k = 8k 1 = 9 + 8k Solving 1 = 9 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 1 + -8k = 9 + 8k + -8k Combine like terms: 8k + -8k = 0 1 + -8k = 9 + 0 1 + -8k = 9 Add '-1' to each side of the equation. 1 + -1 + -8k = 9 + -1 Combine like terms: 1 + -1 = 0 0 + -8k = 9 + -1 -8k = 9 + -1 Combine like terms: 9 + -1 = 8 -8k = 8 Divide each side by '-8'. k = -1 Simplifying k = -1
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