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Simplifying -1(1 + 5k) = -5 + -1 (1 * -1 + 5k * -1) = -5 + -1 (-1 + -5k) = -5 + -1 Combine like terms: -5 + -1 = -6 -1 + -5k = -6 Solving -1 + -5k = -6 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -5k = -6 + 1 Combine like terms: -1 + 1 = 0 0 + -5k = -6 + 1 -5k = -6 + 1 Combine like terms: -6 + 1 = -5 -5k = -5 Divide each side by '-5'. k = 1 Simplifying k = 1
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