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Simplifying 10k + -3 = 2k + 13 Reorder the terms: -3 + 10k = 2k + 13 Reorder the terms: -3 + 10k = 13 + 2k Solving -3 + 10k = 13 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -3 + 10k + -2k = 13 + 2k + -2k Combine like terms: 10k + -2k = 8k -3 + 8k = 13 + 2k + -2k Combine like terms: 2k + -2k = 0 -3 + 8k = 13 + 0 -3 + 8k = 13 Add '3' to each side of the equation. -3 + 3 + 8k = 13 + 3 Combine like terms: -3 + 3 = 0 0 + 8k = 13 + 3 8k = 13 + 3 Combine like terms: 13 + 3 = 16 8k = 16 Divide each side by '8'. k = 2 Simplifying k = 2
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