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Simplifying 34 + 7k = -5(-3k + 6) Reorder the terms: 34 + 7k = -5(6 + -3k) 34 + 7k = (6 * -5 + -3k * -5) 34 + 7k = (-30 + 15k) Solving 34 + 7k = -30 + 15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15k' to each side of the equation. 34 + 7k + -15k = -30 + 15k + -15k Combine like terms: 7k + -15k = -8k 34 + -8k = -30 + 15k + -15k Combine like terms: 15k + -15k = 0 34 + -8k = -30 + 0 34 + -8k = -30 Add '-34' to each side of the equation. 34 + -34 + -8k = -30 + -34 Combine like terms: 34 + -34 = 0 0 + -8k = -30 + -34 -8k = -30 + -34 Combine like terms: -30 + -34 = -64 -8k = -64 Divide each side by '-8'. k = 8 Simplifying k = 8
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