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Simplifying -3(k + 4) + -1(5k + -3) = -9k Reorder the terms: -3(4 + k) + -1(5k + -3) = -9k (4 * -3 + k * -3) + -1(5k + -3) = -9k (-12 + -3k) + -1(5k + -3) = -9k Reorder the terms: -12 + -3k + -1(-3 + 5k) = -9k -12 + -3k + (-3 * -1 + 5k * -1) = -9k -12 + -3k + (3 + -5k) = -9k Reorder the terms: -12 + 3 + -3k + -5k = -9k Combine like terms: -12 + 3 = -9 -9 + -3k + -5k = -9k Combine like terms: -3k + -5k = -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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