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Simplifying -4(k + -3) + -1(3 + 4k) = -9k Reorder the terms: -4(-3 + k) + -1(3 + 4k) = -9k (-3 * -4 + k * -4) + -1(3 + 4k) = -9k (12 + -4k) + -1(3 + 4k) = -9k 12 + -4k + (3 * -1 + 4k * -1) = -9k 12 + -4k + (-3 + -4k) = -9k Reorder the terms: 12 + -3 + -4k + -4k = -9k Combine like terms: 12 + -3 = 9 9 + -4k + -4k = -9k Combine like terms: -4k + -4k = -8k 9 + -8k = -9k Solving 9 + -8k = -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. 9 + -8k + 9k = -9k + 9k Combine like terms: -8k + 9k = 1k 9 + 1k = -9k + 9k Combine like terms: -9k + 9k = 0 9 + 1k = 0 Add '-9' to each side of the equation. 9 + -9 + 1k = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 1k = 0 + -9 1k = 0 + -9 Combine like terms: 0 + -9 = -9 1k = -9 Divide each side by '1'. k = -9 Simplifying k = -9
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