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Simplifying 3k + 45 = 8k + 35 Reorder the terms: 45 + 3k = 8k + 35 Reorder the terms: 45 + 3k = 35 + 8k Solving 45 + 3k = 35 + 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. 45 + 3k + -8k = 35 + 8k + -8k Combine like terms: 3k + -8k = -5k 45 + -5k = 35 + 8k + -8k Combine like terms: 8k + -8k = 0 45 + -5k = 35 + 0 45 + -5k = 35 Add '-45' to each side of the equation. 45 + -45 + -5k = 35 + -45 Combine like terms: 45 + -45 = 0 0 + -5k = 35 + -45 -5k = 35 + -45 Combine like terms: 35 + -45 = -10 -5k = -10 Divide each side by '-5'. k = 2 Simplifying k = 2
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