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Simplifying 7(4k + -8) = -7k + -21 Reorder the terms: 7(-8 + 4k) = -7k + -21 (-8 * 7 + 4k * 7) = -7k + -21 (-56 + 28k) = -7k + -21 Reorder the terms: -56 + 28k = -21 + -7k Solving -56 + 28k = -21 + -7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7k' to each side of the equation. -56 + 28k + 7k = -21 + -7k + 7k Combine like terms: 28k + 7k = 35k -56 + 35k = -21 + -7k + 7k Combine like terms: -7k + 7k = 0 -56 + 35k = -21 + 0 -56 + 35k = -21 Add '56' to each side of the equation. -56 + 56 + 35k = -21 + 56 Combine like terms: -56 + 56 = 0 0 + 35k = -21 + 56 35k = -21 + 56 Combine like terms: -21 + 56 = 35 35k = 35 Divide each side by '35'. k = 1 Simplifying k = 1
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