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Simplifying 34 + 3k = 4 + 6(5 + -7k) 34 + 3k = 4 + (5 * 6 + -7k * 6) 34 + 3k = 4 + (30 + -42k) Combine like terms: 4 + 30 = 34 34 + 3k = 34 + -42k Add '-34' to each side of the equation. 34 + -34 + 3k = 34 + -34 + -42k Combine like terms: 34 + -34 = 0 0 + 3k = 34 + -34 + -42k 3k = 34 + -34 + -42k Combine like terms: 34 + -34 = 0 3k = 0 + -42k 3k = -42k Solving 3k = -42k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '42k' to each side of the equation. 3k + 42k = -42k + 42k Combine like terms: 3k + 42k = 45k 45k = -42k + 42k Combine like terms: -42k + 42k = 0 45k = 0 Divide each side by '45'. k = 0 Simplifying k = 0
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