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Simplifying -7k + 34 = 3k + -2(8k + -5) Reorder the terms: 34 + -7k = 3k + -2(8k + -5) Reorder the terms: 34 + -7k = 3k + -2(-5 + 8k) 34 + -7k = 3k + (-5 * -2 + 8k * -2) 34 + -7k = 3k + (10 + -16k) Reorder the terms: 34 + -7k = 10 + 3k + -16k Combine like terms: 3k + -16k = -13k 34 + -7k = 10 + -13k Solving 34 + -7k = 10 + -13k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '13k' to each side of the equation. 34 + -7k + 13k = 10 + -13k + 13k Combine like terms: -7k + 13k = 6k 34 + 6k = 10 + -13k + 13k Combine like terms: -13k + 13k = 0 34 + 6k = 10 + 0 34 + 6k = 10 Add '-34' to each side of the equation. 34 + -34 + 6k = 10 + -34 Combine like terms: 34 + -34 = 0 0 + 6k = 10 + -34 6k = 10 + -34 Combine like terms: 10 + -34 = -24 6k = -24 Divide each side by '6'. k = -4 Simplifying k = -4
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