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Simplifying 10k + -1(9) = 9k + 10 Multiply -1 * 9 10k + -9 = 9k + 10 Reorder the terms: -9 + 10k = 9k + 10 Reorder the terms: -9 + 10k = 10 + 9k Solving -9 + 10k = 10 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. -9 + 10k + -9k = 10 + 9k + -9k Combine like terms: 10k + -9k = 1k -9 + 1k = 10 + 9k + -9k Combine like terms: 9k + -9k = 0 -9 + 1k = 10 + 0 -9 + 1k = 10 Add '9' to each side of the equation. -9 + 9 + 1k = 10 + 9 Combine like terms: -9 + 9 = 0 0 + 1k = 10 + 9 1k = 10 + 9 Combine like terms: 10 + 9 = 19 1k = 19 Divide each side by '1'. k = 19 Simplifying k = 19
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