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Simplifying -3 = 7(k + -2) + 11 Reorder the terms: -3 = 7(-2 + k) + 11 -3 = (-2 * 7 + k * 7) + 11 -3 = (-14 + 7k) + 11 Reorder the terms: -3 = -14 + 11 + 7k Combine like terms: -14 + 11 = -3 -3 = -3 + 7k Add '3' to each side of the equation. -3 + 3 = -3 + 3 + 7k Combine like terms: -3 + 3 = 0 0 = -3 + 3 + 7k Combine like terms: -3 + 3 = 0 0 = 0 + 7k 0 = 7k Solving 0 = 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. 0 + -7k = 7k + -7k Remove the zero: -7k = 7k + -7k Combine like terms: 7k + -7k = 0 -7k = 0 Divide each side by '-7'. k = 0 Simplifying k = 0
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