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Simplifying 3 = 7k + -5 + k Reorder the terms: 3 = -5 + 7k + k Combine like terms: 7k + k = 8k 3 = -5 + 8k Solving 3 = -5 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 3 + -8k = -5 + 8k + -8k Combine like terms: 8k + -8k = 0 3 + -8k = -5 + 0 3 + -8k = -5 Add '-3' to each side of the equation. 3 + -3 + -8k = -5 + -3 Combine like terms: 3 + -3 = 0 0 + -8k = -5 + -3 -8k = -5 + -3 Combine like terms: -5 + -3 = -8 -8k = -8 Divide each side by '-8'. k = 1 Simplifying k = 1
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