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Simplifying 5(7k + -2) + 8k = -10 + -5k Reorder the terms: 5(-2 + 7k) + 8k = -10 + -5k (-2 * 5 + 7k * 5) + 8k = -10 + -5k (-10 + 35k) + 8k = -10 + -5k Combine like terms: 35k + 8k = 43k -10 + 43k = -10 + -5k Add '10' to each side of the equation. -10 + 10 + 43k = -10 + 10 + -5k Combine like terms: -10 + 10 = 0 0 + 43k = -10 + 10 + -5k 43k = -10 + 10 + -5k Combine like terms: -10 + 10 = 0 43k = 0 + -5k 43k = -5k Solving 43k = -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. 43k + 5k = -5k + 5k Combine like terms: 43k + 5k = 48k 48k = -5k + 5k Combine like terms: -5k + 5k = 0 48k = 0 Divide each side by '48'. k = 0 Simplifying k = 0
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