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Simplifying 6k + -100 = 9k + 1 Reorder the terms: -100 + 6k = 9k + 1 Reorder the terms: -100 + 6k = 1 + 9k Solving -100 + 6k = 1 + 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. -100 + 6k + -9k = 1 + 9k + -9k Combine like terms: 6k + -9k = -3k -100 + -3k = 1 + 9k + -9k Combine like terms: 9k + -9k = 0 -100 + -3k = 1 + 0 -100 + -3k = 1 Add '100' to each side of the equation. -100 + 100 + -3k = 1 + 100 Combine like terms: -100 + 100 = 0 0 + -3k = 1 + 100 -3k = 1 + 100 Combine like terms: 1 + 100 = 101 -3k = 101 Divide each side by '-3'. k = -33.66666667 Simplifying k = -33.66666667
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