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Simplifying -1(5 + -7k) = -4(1 + -2k) (5 * -1 + -7k * -1) = -4(1 + -2k) (-5 + 7k) = -4(1 + -2k) -5 + 7k = (1 * -4 + -2k * -4) -5 + 7k = (-4 + 8k) Solving -5 + 7k = -4 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. -5 + 7k + -8k = -4 + 8k + -8k Combine like terms: 7k + -8k = -1k -5 + -1k = -4 + 8k + -8k Combine like terms: 8k + -8k = 0 -5 + -1k = -4 + 0 -5 + -1k = -4 Add '5' to each side of the equation. -5 + 5 + -1k = -4 + 5 Combine like terms: -5 + 5 = 0 0 + -1k = -4 + 5 -1k = -4 + 5 Combine like terms: -4 + 5 = 1 -1k = 1 Divide each side by '-1'. k = -1 Simplifying k = -1
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