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Simplifying -5k + -5(2k + -5) = -10 + -8k Reorder the terms: -5k + -5(-5 + 2k) = -10 + -8k -5k + (-5 * -5 + 2k * -5) = -10 + -8k -5k + (25 + -10k) = -10 + -8k Reorder the terms: 25 + -5k + -10k = -10 + -8k Combine like terms: -5k + -10k = -15k 25 + -15k = -10 + -8k Solving 25 + -15k = -10 + -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. 25 + -15k + 8k = -10 + -8k + 8k Combine like terms: -15k + 8k = -7k 25 + -7k = -10 + -8k + 8k Combine like terms: -8k + 8k = 0 25 + -7k = -10 + 0 25 + -7k = -10 Add '-25' to each side of the equation. 25 + -25 + -7k = -10 + -25 Combine like terms: 25 + -25 = 0 0 + -7k = -10 + -25 -7k = -10 + -25 Combine like terms: -10 + -25 = -35 -7k = -35 Divide each side by '-7'. k = 5 Simplifying k = 5
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