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Simplifying 34 + -8k = -7(k + -6) Reorder the terms: 34 + -8k = -7(-6 + k) 34 + -8k = (-6 * -7 + k * -7) 34 + -8k = (42 + -7k) Solving 34 + -8k = 42 + -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 + -8k + 7k = 42 + -7k + 7k Combine like terms: -8k + 7k = -1k 34 + -1k = 42 + -7k + 7k Combine like terms: -7k + 7k = 0 34 + -1k = 42 + 0 34 + -1k = 42 Add '-34' to each side of the equation. 34 + -34 + -1k = 42 + -34 Combine like terms: 34 + -34 = 0 0 + -1k = 42 + -34 -1k = 42 + -34 Combine like terms: 42 + -34 = 8 -1k = 8 Divide each side by '-1'. k = -8 Simplifying k = -8
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