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Simplifying 3k + -9(k + -4) = 106 Reorder the terms: 3k + -9(-4 + k) = 106 3k + (-4 * -9 + k * -9) = 106 3k + (36 + -9k) = 106 Reorder the terms: 36 + 3k + -9k = 106 Combine like terms: 3k + -9k = -6k 36 + -6k = 106 Solving 36 + -6k = 106 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -6k = 106 + -36 Combine like terms: 36 + -36 = 0 0 + -6k = 106 + -36 -6k = 106 + -36 Combine like terms: 106 + -36 = 70 -6k = 70 Divide each side by '-6'. k = -11.66666667 Simplifying k = -11.66666667
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