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Simplifying -3(k + 2) + -3(8 + 3k) = -1k + -8k Reorder the terms: -3(2 + k) + -3(8 + 3k) = -1k + -8k (2 * -3 + k * -3) + -3(8 + 3k) = -1k + -8k (-6 + -3k) + -3(8 + 3k) = -1k + -8k -6 + -3k + (8 * -3 + 3k * -3) = -1k + -8k -6 + -3k + (-24 + -9k) = -1k + -8k Reorder the terms: -6 + -24 + -3k + -9k = -1k + -8k Combine like terms: -6 + -24 = -30 -30 + -3k + -9k = -1k + -8k Combine like terms: -3k + -9k = -12k -30 + -12k = -1k + -8k Combine like terms: -1k + -8k = -9k -30 + -12k = -9k Solving -30 + -12k = -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. -30 + -12k + 9k = -9k + 9k Combine like terms: -12k + 9k = -3k -30 + -3k = -9k + 9k Combine like terms: -9k + 9k = 0 -30 + -3k = 0 Add '30' to each side of the equation. -30 + 30 + -3k = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -3k = 0 + 30 -3k = 0 + 30 Combine like terms: 0 + 30 = 30 -3k = 30 Divide each side by '-3'. k = -10 Simplifying k = -10
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