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Simplifying -8k + -5 = 2k + 15 Reorder the terms: -5 + -8k = 2k + 15 Reorder the terms: -5 + -8k = 15 + 2k Solving -5 + -8k = 15 + 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. -5 + -8k + -2k = 15 + 2k + -2k Combine like terms: -8k + -2k = -10k -5 + -10k = 15 + 2k + -2k Combine like terms: 2k + -2k = 0 -5 + -10k = 15 + 0 -5 + -10k = 15 Add '5' to each side of the equation. -5 + 5 + -10k = 15 + 5 Combine like terms: -5 + 5 = 0 0 + -10k = 15 + 5 -10k = 15 + 5 Combine like terms: 15 + 5 = 20 -10k = 20 Divide each side by '-10'. k = -2 Simplifying k = -2
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