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Simplifying 7k + -39 = -2(2k + -8) Reorder the terms: -39 + 7k = -2(2k + -8) Reorder the terms: -39 + 7k = -2(-8 + 2k) -39 + 7k = (-8 * -2 + 2k * -2) -39 + 7k = (16 + -4k) Solving -39 + 7k = 16 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. -39 + 7k + 4k = 16 + -4k + 4k Combine like terms: 7k + 4k = 11k -39 + 11k = 16 + -4k + 4k Combine like terms: -4k + 4k = 0 -39 + 11k = 16 + 0 -39 + 11k = 16 Add '39' to each side of the equation. -39 + 39 + 11k = 16 + 39 Combine like terms: -39 + 39 = 0 0 + 11k = 16 + 39 11k = 16 + 39 Combine like terms: 16 + 39 = 55 11k = 55 Divide each side by '11'. k = 5 Simplifying k = 5
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