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Simplifying -3(k + 6) = -25 + 4k Reorder the terms: -3(6 + k) = -25 + 4k (6 * -3 + k * -3) = -25 + 4k (-18 + -3k) = -25 + 4k Solving -18 + -3k = -25 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. -18 + -3k + -4k = -25 + 4k + -4k Combine like terms: -3k + -4k = -7k -18 + -7k = -25 + 4k + -4k Combine like terms: 4k + -4k = 0 -18 + -7k = -25 + 0 -18 + -7k = -25 Add '18' to each side of the equation. -18 + 18 + -7k = -25 + 18 Combine like terms: -18 + 18 = 0 0 + -7k = -25 + 18 -7k = -25 + 18 Combine like terms: -25 + 18 = -7 -7k = -7 Divide each side by '-7'. k = 1 Simplifying k = 1
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