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Simplifying -8(k + 4) = 38 + 7k Reorder the terms: -8(4 + k) = 38 + 7k (4 * -8 + k * -8) = 38 + 7k (-32 + -8k) = 38 + 7k Solving -32 + -8k = 38 + 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. -32 + -8k + -7k = 38 + 7k + -7k Combine like terms: -8k + -7k = -15k -32 + -15k = 38 + 7k + -7k Combine like terms: 7k + -7k = 0 -32 + -15k = 38 + 0 -32 + -15k = 38 Add '32' to each side of the equation. -32 + 32 + -15k = 38 + 32 Combine like terms: -32 + 32 = 0 0 + -15k = 38 + 32 -15k = 38 + 32 Combine like terms: 38 + 32 = 70 -15k = 70 Divide each side by '-15'. k = -4.666666667 Simplifying k = -4.666666667
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