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Simplifying -321 = -7(-7k + -4) + -6 Reorder the terms: -321 = -7(-4 + -7k) + -6 -321 = (-4 * -7 + -7k * -7) + -6 -321 = (28 + 49k) + -6 Reorder the terms: -321 = 28 + -6 + 49k Combine like terms: 28 + -6 = 22 -321 = 22 + 49k Solving -321 = 22 + 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. -321 + -49k = 22 + 49k + -49k Combine like terms: 49k + -49k = 0 -321 + -49k = 22 + 0 -321 + -49k = 22 Add '321' to each side of the equation. -321 + 321 + -49k = 22 + 321 Combine like terms: -321 + 321 = 0 0 + -49k = 22 + 321 -49k = 22 + 321 Combine like terms: 22 + 321 = 343 -49k = 343 Divide each side by '-49'. k = -7 Simplifying k = -7
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