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Simplifying -6k + -28 = -5(-4 + 5k) + 7k Reorder the terms: -28 + -6k = -5(-4 + 5k) + 7k -28 + -6k = (-4 * -5 + 5k * -5) + 7k -28 + -6k = (20 + -25k) + 7k Combine like terms: -25k + 7k = -18k -28 + -6k = 20 + -18k Solving -28 + -6k = 20 + -18k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '18k' to each side of the equation. -28 + -6k + 18k = 20 + -18k + 18k Combine like terms: -6k + 18k = 12k -28 + 12k = 20 + -18k + 18k Combine like terms: -18k + 18k = 0 -28 + 12k = 20 + 0 -28 + 12k = 20 Add '28' to each side of the equation. -28 + 28 + 12k = 20 + 28 Combine like terms: -28 + 28 = 0 0 + 12k = 20 + 28 12k = 20 + 28 Combine like terms: 20 + 28 = 48 12k = 48 Divide each side by '12'. k = 4 Simplifying k = 4
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