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Simplifying -3(8k + 7) = -38 + -7k Reorder the terms: -3(7 + 8k) = -38 + -7k (7 * -3 + 8k * -3) = -38 + -7k (-21 + -24k) = -38 + -7k Solving -21 + -24k = -38 + -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. -21 + -24k + 7k = -38 + -7k + 7k Combine like terms: -24k + 7k = -17k -21 + -17k = -38 + -7k + 7k Combine like terms: -7k + 7k = 0 -21 + -17k = -38 + 0 -21 + -17k = -38 Add '21' to each side of the equation. -21 + 21 + -17k = -38 + 21 Combine like terms: -21 + 21 = 0 0 + -17k = -38 + 21 -17k = -38 + 21 Combine like terms: -38 + 21 = -17 -17k = -17 Divide each side by '-17'. k = 1 Simplifying k = 1
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