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Simplifying 8k + -13 = 5k + 7k + 9 Reorder the terms: -13 + 8k = 5k + 7k + 9 Reorder the terms: -13 + 8k = 9 + 5k + 7k Combine like terms: 5k + 7k = 12k -13 + 8k = 9 + 12k Solving -13 + 8k = 9 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. -13 + 8k + -12k = 9 + 12k + -12k Combine like terms: 8k + -12k = -4k -13 + -4k = 9 + 12k + -12k Combine like terms: 12k + -12k = 0 -13 + -4k = 9 + 0 -13 + -4k = 9 Add '13' to each side of the equation. -13 + 13 + -4k = 9 + 13 Combine like terms: -13 + 13 = 0 0 + -4k = 9 + 13 -4k = 9 + 13 Combine like terms: 9 + 13 = 22 -4k = 22 Divide each side by '-4'. k = -5.5 Simplifying k = -5.5
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