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Simplifying 3 + -1(7k + 8) = -19 Reorder the terms: 3 + -1(8 + 7k) = -19 3 + (8 * -1 + 7k * -1) = -19 3 + (-8 + -7k) = -19 Combine like terms: 3 + -8 = -5 -5 + -7k = -19 Solving -5 + -7k = -19 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 + -7k = -19 + 5 Combine like terms: -5 + 5 = 0 0 + -7k = -19 + 5 -7k = -19 + 5 Combine like terms: -19 + 5 = -14 -7k = -14 Divide each side by '-7'. k = 2 Simplifying k = 2
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