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Simplifying -4(k + 4) + -1(2k + -8) = -7k Reorder the terms: -4(4 + k) + -1(2k + -8) = -7k (4 * -4 + k * -4) + -1(2k + -8) = -7k (-16 + -4k) + -1(2k + -8) = -7k Reorder the terms: -16 + -4k + -1(-8 + 2k) = -7k -16 + -4k + (-8 * -1 + 2k * -1) = -7k -16 + -4k + (8 + -2k) = -7k Reorder the terms: -16 + 8 + -4k + -2k = -7k Combine like terms: -16 + 8 = -8 -8 + -4k + -2k = -7k Combine like terms: -4k + -2k = -6k -8 + -6k = -7k Solving -8 + -6k = -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. -8 + -6k + 7k = -7k + 7k Combine like terms: -6k + 7k = 1k -8 + 1k = -7k + 7k Combine like terms: -7k + 7k = 0 -8 + 1k = 0 Add '8' to each side of the equation. -8 + 8 + 1k = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 1k = 0 + 8 1k = 0 + 8 Combine like terms: 0 + 8 = 8 1k = 8 Divide each side by '1'. k = 8 Simplifying k = 8
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