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Simplifying -6(1 + 7k) + 7 + (1 + 6k) = -2 (1 * -6 + 7k * -6) + 7 + (1 + 6k) = -2 (-6 + -42k) + 7 + (1 + 6k) = -2 Remove parenthesis around (1 + 6k) -6 + -42k + 7 + 1 + 6k = -2 Reorder the terms: -6 + 7 + 1 + -42k + 6k = -2 Combine like terms: -6 + 7 = 1 1 + 1 + -42k + 6k = -2 Combine like terms: 1 + 1 = 2 2 + -42k + 6k = -2 Combine like terms: -42k + 6k = -36k 2 + -36k = -2 Solving 2 + -36k = -2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -36k = -2 + -2 Combine like terms: 2 + -2 = 0 0 + -36k = -2 + -2 -36k = -2 + -2 Combine like terms: -2 + -2 = -4 -36k = -4 Divide each side by '-36'. k = 0.1111111111 Simplifying k = 0.1111111111
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