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Simplifying 34 + 7k = -4(-3 + k) 34 + 7k = (-3 * -4 + k * -4) 34 + 7k = (12 + -4k) Solving 34 + 7k = 12 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 34 + 7k + 4k = 12 + -4k + 4k Combine like terms: 7k + 4k = 11k 34 + 11k = 12 + -4k + 4k Combine like terms: -4k + 4k = 0 34 + 11k = 12 + 0 34 + 11k = 12 Add '-34' to each side of the equation. 34 + -34 + 11k = 12 + -34 Combine like terms: 34 + -34 = 0 0 + 11k = 12 + -34 11k = 12 + -34 Combine like terms: 12 + -34 = -22 11k = -22 Divide each side by '11'. k = -2 Simplifying k = -2
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