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Simplifying -8k + -20 = 10(10k + -2) Reorder the terms: -20 + -8k = 10(10k + -2) Reorder the terms: -20 + -8k = 10(-2 + 10k) -20 + -8k = (-2 * 10 + 10k * 10) -20 + -8k = (-20 + 100k) Add '20' to each side of the equation. -20 + 20 + -8k = -20 + 20 + 100k Combine like terms: -20 + 20 = 0 0 + -8k = -20 + 20 + 100k -8k = -20 + 20 + 100k Combine like terms: -20 + 20 = 0 -8k = 0 + 100k -8k = 100k Solving -8k = 100k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-100k' to each side of the equation. -8k + -100k = 100k + -100k Combine like terms: -8k + -100k = -108k -108k = 100k + -100k Combine like terms: 100k + -100k = 0 -108k = 0 Divide each side by '-108'. k = 0 Simplifying k = 0
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