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Simplifying 7(7k + -4) = 6k + -28 Reorder the terms: 7(-4 + 7k) = 6k + -28 (-4 * 7 + 7k * 7) = 6k + -28 (-28 + 49k) = 6k + -28 Reorder the terms: -28 + 49k = -28 + 6k Add '28' to each side of the equation. -28 + 28 + 49k = -28 + 28 + 6k Combine like terms: -28 + 28 = 0 0 + 49k = -28 + 28 + 6k 49k = -28 + 28 + 6k Combine like terms: -28 + 28 = 0 49k = 0 + 6k 49k = 6k Solving 49k = 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 49k + -6k = 6k + -6k Combine like terms: 49k + -6k = 43k 43k = 6k + -6k Combine like terms: 6k + -6k = 0 43k = 0 Divide each side by '43'. k = 0 Simplifying k = 0
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