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Simplifying 189 = 7(3 + -6k) 189 = (3 * 7 + -6k * 7) 189 = (21 + -42k) Solving 189 = 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. 189 + 42k = 21 + -42k + 42k Combine like terms: -42k + 42k = 0 189 + 42k = 21 + 0 189 + 42k = 21 Add '-189' to each side of the equation. 189 + -189 + 42k = 21 + -189 Combine like terms: 189 + -189 = 0 0 + 42k = 21 + -189 42k = 21 + -189 Combine like terms: 21 + -189 = -168 42k = -168 Divide each side by '42'. k = -4 Simplifying k = -4
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