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Simplifying 231 = -7(3 + -6k) 231 = (3 * -7 + -6k * -7) 231 = (-21 + 42k) Solving 231 = -21 + 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. 231 + -42k = -21 + 42k + -42k Combine like terms: 42k + -42k = 0 231 + -42k = -21 + 0 231 + -42k = -21 Add '-231' to each side of the equation. 231 + -231 + -42k = -21 + -231 Combine like terms: 231 + -231 = 0 0 + -42k = -21 + -231 -42k = -21 + -231 Combine like terms: -21 + -231 = -252 -42k = -252 Divide each side by '-42'. k = 6 Simplifying k = 6
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