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Simplifying 5k + -30 = 3k + -10 Reorder the terms: -30 + 5k = 3k + -10 Reorder the terms: -30 + 5k = -10 + 3k Solving -30 + 5k = -10 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -30 + 5k + -3k = -10 + 3k + -3k Combine like terms: 5k + -3k = 2k -30 + 2k = -10 + 3k + -3k Combine like terms: 3k + -3k = 0 -30 + 2k = -10 + 0 -30 + 2k = -10 Add '30' to each side of the equation. -30 + 30 + 2k = -10 + 30 Combine like terms: -30 + 30 = 0 0 + 2k = -10 + 30 2k = -10 + 30 Combine like terms: -10 + 30 = 20 2k = 20 Divide each side by '2'. k = 10 Simplifying k = 10
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