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Simplifying -3(1 + 7k) = 30 (1 * -3 + 7k * -3) = 30 (-3 + -21k) = 30 Solving -3 + -21k = 30 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 + -21k = 30 + 3 Combine like terms: -3 + 3 = 0 0 + -21k = 30 + 3 -21k = 30 + 3 Combine like terms: 30 + 3 = 33 -21k = 33 Divide each side by '-21'. k = -1.571428571 Simplifying k = -1.571428571
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