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Simplifying 9k + 13 = 4k + -12 Reorder the terms: 13 + 9k = 4k + -12 Reorder the terms: 13 + 9k = -12 + 4k Solving 13 + 9k = -12 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 13 + 9k + -4k = -12 + 4k + -4k Combine like terms: 9k + -4k = 5k 13 + 5k = -12 + 4k + -4k Combine like terms: 4k + -4k = 0 13 + 5k = -12 + 0 13 + 5k = -12 Add '-13' to each side of the equation. 13 + -13 + 5k = -12 + -13 Combine like terms: 13 + -13 = 0 0 + 5k = -12 + -13 5k = -12 + -13 Combine like terms: -12 + -13 = -25 5k = -25 Divide each side by '5'. k = -5 Simplifying k = -5
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