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Simplifying -9k + -1 = -13 + 3k Reorder the terms: -1 + -9k = -13 + 3k Solving -1 + -9k = -13 + 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. -1 + -9k + -3k = -13 + 3k + -3k Combine like terms: -9k + -3k = -12k -1 + -12k = -13 + 3k + -3k Combine like terms: 3k + -3k = 0 -1 + -12k = -13 + 0 -1 + -12k = -13 Add '1' to each side of the equation. -1 + 1 + -12k = -13 + 1 Combine like terms: -1 + 1 = 0 0 + -12k = -13 + 1 -12k = -13 + 1 Combine like terms: -13 + 1 = -12 -12k = -12 Divide each side by '-12'. k = 1 Simplifying k = 1
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