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Simplifying -5 + -1k = -4(8 + 7k) -5 + -1k = (8 * -4 + 7k * -4) -5 + -1k = (-32 + -28k) Solving -5 + -1k = -32 + -28k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '28k' to each side of the equation. -5 + -1k + 28k = -32 + -28k + 28k Combine like terms: -1k + 28k = 27k -5 + 27k = -32 + -28k + 28k Combine like terms: -28k + 28k = 0 -5 + 27k = -32 + 0 -5 + 27k = -32 Add '5' to each side of the equation. -5 + 5 + 27k = -32 + 5 Combine like terms: -5 + 5 = 0 0 + 27k = -32 + 5 27k = -32 + 5 Combine like terms: -32 + 5 = -27 27k = -27 Divide each side by '27'. k = -1 Simplifying k = -1
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