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Simplifying -34 + 7k = -8(-6k + -6) Reorder the terms: -34 + 7k = -8(-6 + -6k) -34 + 7k = (-6 * -8 + -6k * -8) -34 + 7k = (48 + 48k) Solving -34 + 7k = 48 + 48k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-48k' to each side of the equation. -34 + 7k + -48k = 48 + 48k + -48k Combine like terms: 7k + -48k = -41k -34 + -41k = 48 + 48k + -48k Combine like terms: 48k + -48k = 0 -34 + -41k = 48 + 0 -34 + -41k = 48 Add '34' to each side of the equation. -34 + 34 + -41k = 48 + 34 Combine like terms: -34 + 34 = 0 0 + -41k = 48 + 34 -41k = 48 + 34 Combine like terms: 48 + 34 = 82 -41k = 82 Divide each side by '-41'. k = -2 Simplifying k = -2
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