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Simplifying 14(3k + -7) = 189 Reorder the terms: 14(-7 + 3k) = 189 (-7 * 14 + 3k * 14) = 189 (-98 + 42k) = 189 Solving -98 + 42k = 189 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '98' to each side of the equation. -98 + 98 + 42k = 189 + 98 Combine like terms: -98 + 98 = 0 0 + 42k = 189 + 98 42k = 189 + 98 Combine like terms: 189 + 98 = 287 42k = 287 Divide each side by '42'. k = 6.833333333 Simplifying k = 6.833333333
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