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