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Simplifying 7k + -1(k + 9) = -4k + 4 Reorder the terms: 7k + -1(9 + k) = -4k + 4 7k + (9 * -1 + k * -1) = -4k + 4 7k + (-9 + -1k) = -4k + 4 Reorder the terms: -9 + 7k + -1k = -4k + 4 Combine like terms: 7k + -1k = 6k -9 + 6k = -4k + 4 Reorder the terms: -9 + 6k = 4 + -4k Solving -9 + 6k = 4 + -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. -9 + 6k + 4k = 4 + -4k + 4k Combine like terms: 6k + 4k = 10k -9 + 10k = 4 + -4k + 4k Combine like terms: -4k + 4k = 0 -9 + 10k = 4 + 0 -9 + 10k = 4 Add '9' to each side of the equation. -9 + 9 + 10k = 4 + 9 Combine like terms: -9 + 9 = 0 0 + 10k = 4 + 9 10k = 4 + 9 Combine like terms: 4 + 9 = 13 10k = 13 Divide each side by '10'. k = 1.3 Simplifying k = 1.3
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