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Simplifying 5(6k + -2) + 5k = k + -10 Reorder the terms: 5(-2 + 6k) + 5k = k + -10 (-2 * 5 + 6k * 5) + 5k = k + -10 (-10 + 30k) + 5k = k + -10 Combine like terms: 30k + 5k = 35k -10 + 35k = k + -10 Reorder the terms: -10 + 35k = -10 + k Add '10' to each side of the equation. -10 + 10 + 35k = -10 + 10 + k Combine like terms: -10 + 10 = 0 0 + 35k = -10 + 10 + k 35k = -10 + 10 + k Combine like terms: -10 + 10 = 0 35k = 0 + k 35k = k Solving 35k = k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 35k + -1k = k + -1k Combine like terms: 35k + -1k = 34k 34k = k + -1k Combine like terms: k + -1k = 0 34k = 0 Divide each side by '34'. k = 0 Simplifying k = 0
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