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Simplifying 7(6k + -13) = 287 Reorder the terms: 7(-13 + 6k) = 287 (-13 * 7 + 6k * 7) = 287 (-91 + 42k) = 287 Solving -91 + 42k = 287 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '91' to each side of the equation. -91 + 91 + 42k = 287 + 91 Combine like terms: -91 + 91 = 0 0 + 42k = 287 + 91 42k = 287 + 91 Combine like terms: 287 + 91 = 378 42k = 378 Divide each side by '42'. k = 9 Simplifying k = 9
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