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Simplifying -8 + -2(5k + -5) = 2 + 5k Reorder the terms: -8 + -2(-5 + 5k) = 2 + 5k -8 + (-5 * -2 + 5k * -2) = 2 + 5k -8 + (10 + -10k) = 2 + 5k Combine like terms: -8 + 10 = 2 2 + -10k = 2 + 5k Add '-2' to each side of the equation. 2 + -2 + -10k = 2 + -2 + 5k Combine like terms: 2 + -2 = 0 0 + -10k = 2 + -2 + 5k -10k = 2 + -2 + 5k Combine like terms: 2 + -2 = 0 -10k = 0 + 5k -10k = 5k Solving -10k = 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. -10k + -5k = 5k + -5k Combine like terms: -10k + -5k = -15k -15k = 5k + -5k Combine like terms: 5k + -5k = 0 -15k = 0 Divide each side by '-15'. k = 0 Simplifying k = 0
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