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Simplifying 34 + -8k = -1(k + 1) Reorder the terms: 34 + -8k = -1(1 + k) 34 + -8k = (1 * -1 + k * -1) 34 + -8k = (-1 + -1k) Solving 34 + -8k = -1 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 34 + -8k + k = -1 + -1k + k Combine like terms: -8k + k = -7k 34 + -7k = -1 + -1k + k Combine like terms: -1k + k = 0 34 + -7k = -1 + 0 34 + -7k = -1 Add '-34' to each side of the equation. 34 + -34 + -7k = -1 + -34 Combine like terms: 34 + -34 = 0 0 + -7k = -1 + -34 -7k = -1 + -34 Combine like terms: -1 + -34 = -35 -7k = -35 Divide each side by '-7'. k = 5 Simplifying k = 5
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