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Simplifying 8k + 10 = 13k + -5 Reorder the terms: 10 + 8k = 13k + -5 Reorder the terms: 10 + 8k = -5 + 13k Solving 10 + 8k = -5 + 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. 10 + 8k + -13k = -5 + 13k + -13k Combine like terms: 8k + -13k = -5k 10 + -5k = -5 + 13k + -13k Combine like terms: 13k + -13k = 0 10 + -5k = -5 + 0 10 + -5k = -5 Add '-10' to each side of the equation. 10 + -10 + -5k = -5 + -10 Combine like terms: 10 + -10 = 0 0 + -5k = -5 + -10 -5k = -5 + -10 Combine like terms: -5 + -10 = -15 -5k = -15 Divide each side by '-5'. k = 3 Simplifying k = 3
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