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Simplifying 6(7 + -7k) = 0 (7 * 6 + -7k * 6) = 0 (42 + -42k) = 0 Solving 42 + -42k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -42k = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -42k = 0 + -42 -42k = 0 + -42 Combine like terms: 0 + -42 = -42 -42k = -42 Divide each side by '-42'. k = 1 Simplifying k = 1
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