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Simplifying 20 + 7k = -6(7k + -4) + -4 Reorder the terms: 20 + 7k = -6(-4 + 7k) + -4 20 + 7k = (-4 * -6 + 7k * -6) + -4 20 + 7k = (24 + -42k) + -4 Reorder the terms: 20 + 7k = 24 + -4 + -42k Combine like terms: 24 + -4 = 20 20 + 7k = 20 + -42k Add '-20' to each side of the equation. 20 + -20 + 7k = 20 + -20 + -42k Combine like terms: 20 + -20 = 0 0 + 7k = 20 + -20 + -42k 7k = 20 + -20 + -42k Combine like terms: 20 + -20 = 0 7k = 0 + -42k 7k = -42k Solving 7k = -42k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '42k' to each side of the equation. 7k + 42k = -42k + 42k Combine like terms: 7k + 42k = 49k 49k = -42k + 42k Combine like terms: -42k + 42k = 0 49k = 0 Divide each side by '49'. k = 0 Simplifying k = 0
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