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Simplifying 3(1 + 8k) = -34 (1 * 3 + 8k * 3) = -34 (3 + 24k) = -34 Solving 3 + 24k = -34 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 24k = -34 + -3 Combine like terms: 3 + -3 = 0 0 + 24k = -34 + -3 24k = -34 + -3 Combine like terms: -34 + -3 = -37 24k = -37 Divide each side by '24'. k = -1.541666667 Simplifying k = -1.541666667
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