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Simplifying -32 + -8k = -1(5 + k) -32 + -8k = (5 * -1 + k * -1) -32 + -8k = (-5 + -1k) Solving -32 + -8k = -5 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -32 + -8k + k = -5 + -1k + k Combine like terms: -8k + k = -7k -32 + -7k = -5 + -1k + k Combine like terms: -1k + k = 0 -32 + -7k = -5 + 0 -32 + -7k = -5 Add '32' to each side of the equation. -32 + 32 + -7k = -5 + 32 Combine like terms: -32 + 32 = 0 0 + -7k = -5 + 32 -7k = -5 + 32 Combine like terms: -5 + 32 = 27 -7k = 27 Divide each side by '-7'. k = -3.857142857 Simplifying k = -3.857142857
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