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Simplifying 4k + -1(9 + -3k) = 8k + -11 4k + (9 * -1 + -3k * -1) = 8k + -11 4k + (-9 + 3k) = 8k + -11 Reorder the terms: -9 + 4k + 3k = 8k + -11 Combine like terms: 4k + 3k = 7k -9 + 7k = 8k + -11 Reorder the terms: -9 + 7k = -11 + 8k Solving -9 + 7k = -11 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. -9 + 7k + -8k = -11 + 8k + -8k Combine like terms: 7k + -8k = -1k -9 + -1k = -11 + 8k + -8k Combine like terms: 8k + -8k = 0 -9 + -1k = -11 + 0 -9 + -1k = -11 Add '9' to each side of the equation. -9 + 9 + -1k = -11 + 9 Combine like terms: -9 + 9 = 0 0 + -1k = -11 + 9 -1k = -11 + 9 Combine like terms: -11 + 9 = -2 -1k = -2 Divide each side by '-1'. k = 2 Simplifying k = 2
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