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Simplifying 3 + -7(7k + -7) = 10 + -7k Reorder the terms: 3 + -7(-7 + 7k) = 10 + -7k 3 + (-7 * -7 + 7k * -7) = 10 + -7k 3 + (49 + -49k) = 10 + -7k Combine like terms: 3 + 49 = 52 52 + -49k = 10 + -7k Solving 52 + -49k = 10 + -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. 52 + -49k + 7k = 10 + -7k + 7k Combine like terms: -49k + 7k = -42k 52 + -42k = 10 + -7k + 7k Combine like terms: -7k + 7k = 0 52 + -42k = 10 + 0 52 + -42k = 10 Add '-52' to each side of the equation. 52 + -52 + -42k = 10 + -52 Combine like terms: 52 + -52 = 0 0 + -42k = 10 + -52 -42k = 10 + -52 Combine like terms: 10 + -52 = -42 -42k = -42 Divide each side by '-42'. k = 1 Simplifying k = 1
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