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Simplifying -3(4 + -1k) + 8k = 3 + -1(-7k + -5) (4 * -3 + -1k * -3) + 8k = 3 + -1(-7k + -5) (-12 + 3k) + 8k = 3 + -1(-7k + -5) Combine like terms: 3k + 8k = 11k -12 + 11k = 3 + -1(-7k + -5) Reorder the terms: -12 + 11k = 3 + -1(-5 + -7k) -12 + 11k = 3 + (-5 * -1 + -7k * -1) -12 + 11k = 3 + (5 + 7k) Combine like terms: 3 + 5 = 8 -12 + 11k = 8 + 7k Solving -12 + 11k = 8 + 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. -12 + 11k + -7k = 8 + 7k + -7k Combine like terms: 11k + -7k = 4k -12 + 4k = 8 + 7k + -7k Combine like terms: 7k + -7k = 0 -12 + 4k = 8 + 0 -12 + 4k = 8 Add '12' to each side of the equation. -12 + 12 + 4k = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 4k = 8 + 12 4k = 8 + 12 Combine like terms: 8 + 12 = 20 4k = 20 Divide each side by '4'. k = 5 Simplifying k = 5
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