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Simplifying -246 = 6(1 + 7k) -246 = (1 * 6 + 7k * 6) -246 = (6 + 42k) Solving -246 = 6 + 42k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-42k' to each side of the equation. -246 + -42k = 6 + 42k + -42k Combine like terms: 42k + -42k = 0 -246 + -42k = 6 + 0 -246 + -42k = 6 Add '246' to each side of the equation. -246 + 246 + -42k = 6 + 246 Combine like terms: -246 + 246 = 0 0 + -42k = 6 + 246 -42k = 6 + 246 Combine like terms: 6 + 246 = 252 -42k = 252 Divide each side by '-42'. k = -6 Simplifying k = -6
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