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Simplifying -7(6k + 8) = 7(-7k + -4) Reorder the terms: -7(8 + 6k) = 7(-7k + -4) (8 * -7 + 6k * -7) = 7(-7k + -4) (-56 + -42k) = 7(-7k + -4) Reorder the terms: -56 + -42k = 7(-4 + -7k) -56 + -42k = (-4 * 7 + -7k * 7) -56 + -42k = (-28 + -49k) Solving -56 + -42k = -28 + -49k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '49k' to each side of the equation. -56 + -42k + 49k = -28 + -49k + 49k Combine like terms: -42k + 49k = 7k -56 + 7k = -28 + -49k + 49k Combine like terms: -49k + 49k = 0 -56 + 7k = -28 + 0 -56 + 7k = -28 Add '56' to each side of the equation. -56 + 56 + 7k = -28 + 56 Combine like terms: -56 + 56 = 0 0 + 7k = -28 + 56 7k = -28 + 56 Combine like terms: -28 + 56 = 28 7k = 28 Divide each side by '7'. k = 4 Simplifying k = 4
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