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Simplifying 1 + -5(7k + 4) = -299 Reorder the terms: 1 + -5(4 + 7k) = -299 1 + (4 * -5 + 7k * -5) = -299 1 + (-20 + -35k) = -299 Combine like terms: 1 + -20 = -19 -19 + -35k = -299 Solving -19 + -35k = -299 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -35k = -299 + 19 Combine like terms: -19 + 19 = 0 0 + -35k = -299 + 19 -35k = -299 + 19 Combine like terms: -299 + 19 = -280 -35k = -280 Divide each side by '-35'. k = 8 Simplifying k = 8
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