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Simplifying 8k + -5 = 2k + 37 Reorder the terms: -5 + 8k = 2k + 37 Reorder the terms: -5 + 8k = 37 + 2k Solving -5 + 8k = 37 + 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 = 37 + 2k + -2k Combine like terms: 8k + -2k = 6k -5 + 6k = 37 + 2k + -2k Combine like terms: 2k + -2k = 0 -5 + 6k = 37 + 0 -5 + 6k = 37 Add '5' to each side of the equation. -5 + 5 + 6k = 37 + 5 Combine like terms: -5 + 5 = 0 0 + 6k = 37 + 5 6k = 37 + 5 Combine like terms: 37 + 5 = 42 6k = 42 Divide each side by '6'. k = 7 Simplifying k = 7
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