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Simplifying -24 + -4k = -7(k + 3) Reorder the terms: -24 + -4k = -7(3 + k) -24 + -4k = (3 * -7 + k * -7) -24 + -4k = (-21 + -7k) Solving -24 + -4k = -21 + -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. -24 + -4k + 7k = -21 + -7k + 7k Combine like terms: -4k + 7k = 3k -24 + 3k = -21 + -7k + 7k Combine like terms: -7k + 7k = 0 -24 + 3k = -21 + 0 -24 + 3k = -21 Add '24' to each side of the equation. -24 + 24 + 3k = -21 + 24 Combine like terms: -24 + 24 = 0 0 + 3k = -21 + 24 3k = -21 + 24 Combine like terms: -21 + 24 = 3 3k = 3 Divide each side by '3'. k = 1 Simplifying k = 1
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