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Simplifying -21 + -7k = 7(-6k + -8) Reorder the terms: -21 + -7k = 7(-8 + -6k) -21 + -7k = (-8 * 7 + -6k * 7) -21 + -7k = (-56 + -42k) Solving -21 + -7k = -56 + -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. -21 + -7k + 42k = -56 + -42k + 42k Combine like terms: -7k + 42k = 35k -21 + 35k = -56 + -42k + 42k Combine like terms: -42k + 42k = 0 -21 + 35k = -56 + 0 -21 + 35k = -56 Add '21' to each side of the equation. -21 + 21 + 35k = -56 + 21 Combine like terms: -21 + 21 = 0 0 + 35k = -56 + 21 35k = -56 + 21 Combine like terms: -56 + 21 = -35 35k = -35 Divide each side by '35'. k = -1 Simplifying k = -1
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