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Simplifying 10 + 10k = 5k + 10k + -10 Reorder the terms: 10 + 10k = -10 + 5k + 10k Combine like terms: 5k + 10k = 15k 10 + 10k = -10 + 15k Solving 10 + 10k = -10 + 15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15k' to each side of the equation. 10 + 10k + -15k = -10 + 15k + -15k Combine like terms: 10k + -15k = -5k 10 + -5k = -10 + 15k + -15k Combine like terms: 15k + -15k = 0 10 + -5k = -10 + 0 10 + -5k = -10 Add '-10' to each side of the equation. 10 + -10 + -5k = -10 + -10 Combine like terms: 10 + -10 = 0 0 + -5k = -10 + -10 -5k = -10 + -10 Combine like terms: -10 + -10 = -20 -5k = -20 Divide each side by '-5'. k = 4 Simplifying k = 4
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