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Simplifying 4 + -1(7k + 4) = 4k + -5 Reorder the terms: 4 + -1(4 + 7k) = 4k + -5 4 + (4 * -1 + 7k * -1) = 4k + -5 4 + (-4 + -7k) = 4k + -5 Combine like terms: 4 + -4 = 0 0 + -7k = 4k + -5 -7k = 4k + -5 Reorder the terms: -7k = -5 + 4k Solving -7k = -5 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. -7k + -4k = -5 + 4k + -4k Combine like terms: -7k + -4k = -11k -11k = -5 + 4k + -4k Combine like terms: 4k + -4k = 0 -11k = -5 + 0 -11k = -5 Divide each side by '-11'. k = 0.4545454545 Simplifying k = 0.4545454545
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