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Simplifying -34 + -8k = 7(-4 + -1k) -34 + -8k = (-4 * 7 + -1k * 7) -34 + -8k = (-28 + -7k) Solving -34 + -8k = -28 + -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 = -28 + -7k + 7k Combine like terms: -8k + 7k = -1k -34 + -1k = -28 + -7k + 7k Combine like terms: -7k + 7k = 0 -34 + -1k = -28 + 0 -34 + -1k = -28 Add '34' to each side of the equation. -34 + 34 + -1k = -28 + 34 Combine like terms: -34 + 34 = 0 0 + -1k = -28 + 34 -1k = -28 + 34 Combine like terms: -28 + 34 = 6 -1k = 6 Divide each side by '-1'. k = -6 Simplifying k = -6
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