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Simplifying -49k + 8 = -280 + -42k Reorder the terms: 8 + -49k = -280 + -42k Solving 8 + -49k = -280 + -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. 8 + -49k + 42k = -280 + -42k + 42k Combine like terms: -49k + 42k = -7k 8 + -7k = -280 + -42k + 42k Combine like terms: -42k + 42k = 0 8 + -7k = -280 + 0 8 + -7k = -280 Add '-8' to each side of the equation. 8 + -8 + -7k = -280 + -8 Combine like terms: 8 + -8 = 0 0 + -7k = -280 + -8 -7k = -280 + -8 Combine like terms: -280 + -8 = -288 -7k = -288 Divide each side by '-7'. k = 41.14285714 Simplifying k = 41.14285714
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