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Simplifying -13 = 5k + 5 + 4k Reorder the terms: -13 = 5 + 5k + 4k Combine like terms: 5k + 4k = 9k -13 = 5 + 9k Solving -13 = 5 + 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. -13 + -9k = 5 + 9k + -9k Combine like terms: 9k + -9k = 0 -13 + -9k = 5 + 0 -13 + -9k = 5 Add '13' to each side of the equation. -13 + 13 + -9k = 5 + 13 Combine like terms: -13 + 13 = 0 0 + -9k = 5 + 13 -9k = 5 + 13 Combine like terms: 5 + 13 = 18 -9k = 18 Divide each side by '-9'. k = -2 Simplifying k = -2
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