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Simplifying 4 + -9(4k + 1) = -7k + 5 Reorder the terms: 4 + -9(1 + 4k) = -7k + 5 4 + (1 * -9 + 4k * -9) = -7k + 5 4 + (-9 + -36k) = -7k + 5 Combine like terms: 4 + -9 = -5 -5 + -36k = -7k + 5 Reorder the terms: -5 + -36k = 5 + -7k Solving -5 + -36k = 5 + -7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7k' to each side of the equation. -5 + -36k + 7k = 5 + -7k + 7k Combine like terms: -36k + 7k = -29k -5 + -29k = 5 + -7k + 7k Combine like terms: -7k + 7k = 0 -5 + -29k = 5 + 0 -5 + -29k = 5 Add '5' to each side of the equation. -5 + 5 + -29k = 5 + 5 Combine like terms: -5 + 5 = 0 0 + -29k = 5 + 5 -29k = 5 + 5 Combine like terms: 5 + 5 = 10 -29k = 10 Divide each side by '-29'. k = -0.3448275862 Simplifying k = -0.3448275862
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