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Simplifying 13 + -8k = 2k + 10 Reorder the terms: 13 + -8k = 10 + 2k Solving 13 + -8k = 10 + 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. 13 + -8k + -2k = 10 + 2k + -2k Combine like terms: -8k + -2k = -10k 13 + -10k = 10 + 2k + -2k Combine like terms: 2k + -2k = 0 13 + -10k = 10 + 0 13 + -10k = 10 Add '-13' to each side of the equation. 13 + -13 + -10k = 10 + -13 Combine like terms: 13 + -13 = 0 0 + -10k = 10 + -13 -10k = 10 + -13 Combine like terms: 10 + -13 = -3 -10k = -3 Divide each side by '-10'. k = 0.3 Simplifying k = 0.3
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