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Simplifying 45 = k + 7k + k Combine like terms: k + 7k = 8k 45 = 8k + k Combine like terms: 8k + k = 9k 45 = 9k Solving 45 = 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. 45 + -9k = 9k + -9k Combine like terms: 9k + -9k = 0 45 + -9k = 0 Add '-45' to each side of the equation. 45 + -45 + -9k = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -9k = 0 + -45 -9k = 0 + -45 Combine like terms: 0 + -45 = -45 -9k = -45 Divide each side by '-9'. k = 5 Simplifying k = 5
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