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Simplifying 13k + -9 = 5k + 7 Reorder the terms: -9 + 13k = 5k + 7 Reorder the terms: -9 + 13k = 7 + 5k Solving -9 + 13k = 7 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. -9 + 13k + -5k = 7 + 5k + -5k Combine like terms: 13k + -5k = 8k -9 + 8k = 7 + 5k + -5k Combine like terms: 5k + -5k = 0 -9 + 8k = 7 + 0 -9 + 8k = 7 Add '9' to each side of the equation. -9 + 9 + 8k = 7 + 9 Combine like terms: -9 + 9 = 0 0 + 8k = 7 + 9 8k = 7 + 9 Combine like terms: 7 + 9 = 16 8k = 16 Divide each side by '8'. k = 2 Simplifying k = 2
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