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Simplifying 12 = k + 4 + 7k Reorder the terms: 12 = 4 + k + 7k Combine like terms: k + 7k = 8k 12 = 4 + 8k Solving 12 = 4 + 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. 12 + -8k = 4 + 8k + -8k Combine like terms: 8k + -8k = 0 12 + -8k = 4 + 0 12 + -8k = 4 Add '-12' to each side of the equation. 12 + -12 + -8k = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -8k = 4 + -12 -8k = 4 + -12 Combine like terms: 4 + -12 = -8 -8k = -8 Divide each side by '-8'. k = 1 Simplifying k = 1
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