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Simplifying 12k + -1[4k + (5 + 4k)] = 0 Remove parenthesis around (5 + 4k) 12k + -1[4k + 5 + 4k] = 0 Reorder the terms: 12k + -1[5 + 4k + 4k] = 0 Combine like terms: 4k + 4k = 8k 12k + -1[5 + 8k] = 0 12k + [5 * -1 + 8k * -1] = 0 12k + [-5 + -8k] = 0 Reorder the terms: -5 + 12k + -8k = 0 Combine like terms: 12k + -8k = 4k -5 + 4k = 0 Solving -5 + 4k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 4k = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 4k = 0 + 5 4k = 0 + 5 Combine like terms: 0 + 5 = 5 4k = 5 Divide each side by '4'. k = 1.25 Simplifying k = 1.25
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