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Simplifying -2 + -2(1 + k) = -34 + -7k -2 + (1 * -2 + k * -2) = -34 + -7k -2 + (-2 + -2k) = -34 + -7k Combine like terms: -2 + -2 = -4 -4 + -2k = -34 + -7k Solving -4 + -2k = -34 + -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. -4 + -2k + 7k = -34 + -7k + 7k Combine like terms: -2k + 7k = 5k -4 + 5k = -34 + -7k + 7k Combine like terms: -7k + 7k = 0 -4 + 5k = -34 + 0 -4 + 5k = -34 Add '4' to each side of the equation. -4 + 4 + 5k = -34 + 4 Combine like terms: -4 + 4 = 0 0 + 5k = -34 + 4 5k = -34 + 4 Combine like terms: -34 + 4 = -30 5k = -30 Divide each side by '5'. k = -6 Simplifying k = -6
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