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Simplifying 36 + k = 6(7k + -1) + k Reorder the terms: 36 + k = 6(-1 + 7k) + k 36 + k = (-1 * 6 + 7k * 6) + k 36 + k = (-6 + 42k) + k Combine like terms: 42k + k = 43k 36 + k = -6 + 43k Solving 36 + k = -6 + 43k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-43k' to each side of the equation. 36 + k + -43k = -6 + 43k + -43k Combine like terms: k + -43k = -42k 36 + -42k = -6 + 43k + -43k Combine like terms: 43k + -43k = 0 36 + -42k = -6 + 0 36 + -42k = -6 Add '-36' to each side of the equation. 36 + -36 + -42k = -6 + -36 Combine like terms: 36 + -36 = 0 0 + -42k = -6 + -36 -42k = -6 + -36 Combine like terms: -6 + -36 = -42 -42k = -42 Divide each side by '-42'. k = 1 Simplifying k = 1
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