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Simplifying 7 + 5k = 8k + 1 Reorder the terms: 7 + 5k = 1 + 8k Solving 7 + 5k = 1 + 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. 7 + 5k + -8k = 1 + 8k + -8k Combine like terms: 5k + -8k = -3k 7 + -3k = 1 + 8k + -8k Combine like terms: 8k + -8k = 0 7 + -3k = 1 + 0 7 + -3k = 1 Add '-7' to each side of the equation. 7 + -7 + -3k = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -3k = 1 + -7 -3k = 1 + -7 Combine like terms: 1 + -7 = -6 -3k = -6 Divide each side by '-3'. k = 2 Simplifying k = 2
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