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Simplifying -4(k + 8) + -1(6 + 7k) = -12k Reorder the terms: -4(8 + k) + -1(6 + 7k) = -12k (8 * -4 + k * -4) + -1(6 + 7k) = -12k (-32 + -4k) + -1(6 + 7k) = -12k -32 + -4k + (6 * -1 + 7k * -1) = -12k -32 + -4k + (-6 + -7k) = -12k Reorder the terms: -32 + -6 + -4k + -7k = -12k Combine like terms: -32 + -6 = -38 -38 + -4k + -7k = -12k Combine like terms: -4k + -7k = -11k -38 + -11k = -12k Solving -38 + -11k = -12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12k' to each side of the equation. -38 + -11k + 12k = -12k + 12k Combine like terms: -11k + 12k = 1k -38 + 1k = -12k + 12k Combine like terms: -12k + 12k = 0 -38 + 1k = 0 Add '38' to each side of the equation. -38 + 38 + 1k = 0 + 38 Combine like terms: -38 + 38 = 0 0 + 1k = 0 + 38 1k = 0 + 38 Combine like terms: 0 + 38 = 38 1k = 38 Divide each side by '1'. k = 38 Simplifying k = 38
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