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Simplifying 2(k + 17) = -7(k + -10) Reorder the terms: 2(17 + k) = -7(k + -10) (17 * 2 + k * 2) = -7(k + -10) (34 + 2k) = -7(k + -10) Reorder the terms: 34 + 2k = -7(-10 + k) 34 + 2k = (-10 * -7 + k * -7) 34 + 2k = (70 + -7k) Solving 34 + 2k = 70 + -7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7k' to each side of the equation. 34 + 2k + 7k = 70 + -7k + 7k Combine like terms: 2k + 7k = 9k 34 + 9k = 70 + -7k + 7k Combine like terms: -7k + 7k = 0 34 + 9k = 70 + 0 34 + 9k = 70 Add '-34' to each side of the equation. 34 + -34 + 9k = 70 + -34 Combine like terms: 34 + -34 = 0 0 + 9k = 70 + -34 9k = 70 + -34 Combine like terms: 70 + -34 = 36 9k = 36 Divide each side by '9'. k = 4 Simplifying k = 4
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