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Simplifying -3(6 + -5k) = 7k + 54 (6 * -3 + -5k * -3) = 7k + 54 (-18 + 15k) = 7k + 54 Reorder the terms: -18 + 15k = 54 + 7k Solving -18 + 15k = 54 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. -18 + 15k + -7k = 54 + 7k + -7k Combine like terms: 15k + -7k = 8k -18 + 8k = 54 + 7k + -7k Combine like terms: 7k + -7k = 0 -18 + 8k = 54 + 0 -18 + 8k = 54 Add '18' to each side of the equation. -18 + 18 + 8k = 54 + 18 Combine like terms: -18 + 18 = 0 0 + 8k = 54 + 18 8k = 54 + 18 Combine like terms: 54 + 18 = 72 8k = 72 Divide each side by '8'. k = 9 Simplifying k = 9
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