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Simplifying 280 = -7(2 + -6k) 280 = (2 * -7 + -6k * -7) 280 = (-14 + 42k) Solving 280 = -14 + 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. 280 + -42k = -14 + 42k + -42k Combine like terms: 42k + -42k = 0 280 + -42k = -14 + 0 280 + -42k = -14 Add '-280' to each side of the equation. 280 + -280 + -42k = -14 + -280 Combine like terms: 280 + -280 = 0 0 + -42k = -14 + -280 -42k = -14 + -280 Combine like terms: -14 + -280 = -294 -42k = -294 Divide each side by '-42'. k = 7 Simplifying k = 7
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