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Simplifying 45 + 10 + 45 = 5k Combine like terms: 45 + 10 = 55 55 + 45 = 5k Combine like terms: 55 + 45 = 100 100 = 5k Solving 100 = 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 100 + -5k = 5k + -5k Combine like terms: 5k + -5k = 0 100 + -5k = 0 Add '-100' to each side of the equation. 100 + -100 + -5k = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -5k = 0 + -100 -5k = 0 + -100 Combine like terms: 0 + -100 = -100 -5k = -100 Divide each side by '-5'. k = 20 Simplifying k = 20
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