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Simplifying 5(k + -5) = -55 Reorder the terms: 5(-5 + k) = -55 (-5 * 5 + k * 5) = -55 (-25 + 5k) = -55 Solving -25 + 5k = -55 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 5k = -55 + 25 Combine like terms: -25 + 25 = 0 0 + 5k = -55 + 25 5k = -55 + 25 Combine like terms: -55 + 25 = -30 5k = -30 Divide each side by '5'. k = -6 Simplifying k = -6
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