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Simplifying (k + -10) * -7 = -24 Reorder the terms: (-10 + k) * -7 = -24 Reorder the terms for easier multiplication: -7(-10 + k) = -24 (-10 * -7 + k * -7) = -24 (70 + -7k) = -24 Solving 70 + -7k = -24 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 = -24 + -70 Combine like terms: 70 + -70 = 0 0 + -7k = -24 + -70 -7k = -24 + -70 Combine like terms: -24 + -70 = -94 -7k = -94 Divide each side by '-7'. k = 13.42857143 Simplifying k = 13.42857143
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