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Simplifying -7(10 + k) = 42 (10 * -7 + k * -7) = 42 (-70 + -7k) = 42 Solving -70 + -7k = 42 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '70' to each side of the equation. -70 + 70 + -7k = 42 + 70 Combine like terms: -70 + 70 = 0 0 + -7k = 42 + 70 -7k = 42 + 70 Combine like terms: 42 + 70 = 112 -7k = 112 Divide each side by '-7'. k = -16 Simplifying k = -16
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