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Simplifying -5 + 8k = 5 + 10k Solving -5 + 8k = 5 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. -5 + 8k + -10k = 5 + 10k + -10k Combine like terms: 8k + -10k = -2k -5 + -2k = 5 + 10k + -10k Combine like terms: 10k + -10k = 0 -5 + -2k = 5 + 0 -5 + -2k = 5 Add '5' to each side of the equation. -5 + 5 + -2k = 5 + 5 Combine like terms: -5 + 5 = 0 0 + -2k = 5 + 5 -2k = 5 + 5 Combine like terms: 5 + 5 = 10 -2k = 10 Divide each side by '-2'. k = -5 Simplifying k = -5
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