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Simplifying 5 + -5k = -5(2k + -6) Reorder the terms: 5 + -5k = -5(-6 + 2k) 5 + -5k = (-6 * -5 + 2k * -5) 5 + -5k = (30 + -10k) Solving 5 + -5k = 30 + -10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10k' to each side of the equation. 5 + -5k + 10k = 30 + -10k + 10k Combine like terms: -5k + 10k = 5k 5 + 5k = 30 + -10k + 10k Combine like terms: -10k + 10k = 0 5 + 5k = 30 + 0 5 + 5k = 30 Add '-5' to each side of the equation. 5 + -5 + 5k = 30 + -5 Combine like terms: 5 + -5 = 0 0 + 5k = 30 + -5 5k = 30 + -5 Combine like terms: 30 + -5 = 25 5k = 25 Divide each side by '5'. k = 5 Simplifying k = 5
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