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Simplifying -44 + -7k = 12 + k Solving -44 + -7k = 12 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -44 + -7k + -1k = 12 + k + -1k Combine like terms: -7k + -1k = -8k -44 + -8k = 12 + k + -1k Combine like terms: k + -1k = 0 -44 + -8k = 12 + 0 -44 + -8k = 12 Add '44' to each side of the equation. -44 + 44 + -8k = 12 + 44 Combine like terms: -44 + 44 = 0 0 + -8k = 12 + 44 -8k = 12 + 44 Combine like terms: 12 + 44 = 56 -8k = 56 Divide each side by '-8'. k = -7 Simplifying k = -7
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