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Simplifying -3(1 + 3k) = -27 + 3k (1 * -3 + 3k * -3) = -27 + 3k (-3 + -9k) = -27 + 3k Solving -3 + -9k = -27 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -3 + -9k + -3k = -27 + 3k + -3k Combine like terms: -9k + -3k = -12k -3 + -12k = -27 + 3k + -3k Combine like terms: 3k + -3k = 0 -3 + -12k = -27 + 0 -3 + -12k = -27 Add '3' to each side of the equation. -3 + 3 + -12k = -27 + 3 Combine like terms: -3 + 3 = 0 0 + -12k = -27 + 3 -12k = -27 + 3 Combine like terms: -27 + 3 = -24 -12k = -24 Divide each side by '-12'. k = 2 Simplifying k = 2
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