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Simplifying 8k + 10 = 5k + 3 Reorder the terms: 10 + 8k = 5k + 3 Reorder the terms: 10 + 8k = 3 + 5k Solving 10 + 8k = 3 + 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. 10 + 8k + -5k = 3 + 5k + -5k Combine like terms: 8k + -5k = 3k 10 + 3k = 3 + 5k + -5k Combine like terms: 5k + -5k = 0 10 + 3k = 3 + 0 10 + 3k = 3 Add '-10' to each side of the equation. 10 + -10 + 3k = 3 + -10 Combine like terms: 10 + -10 = 0 0 + 3k = 3 + -10 3k = 3 + -10 Combine like terms: 3 + -10 = -7 3k = -7 Divide each side by '3'. k = -2.333333333 Simplifying k = -2.333333333
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