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Simplifying -5 + -6(-8 + -7k) = 253 -5 + (-8 * -6 + -7k * -6) = 253 -5 + (48 + 42k) = 253 Combine like terms: -5 + 48 = 43 43 + 42k = 253 Solving 43 + 42k = 253 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + 42k = 253 + -43 Combine like terms: 43 + -43 = 0 0 + 42k = 253 + -43 42k = 253 + -43 Combine like terms: 253 + -43 = 210 42k = 210 Divide each side by '42'. k = 5 Simplifying k = 5
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