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Simplifying 6k + -1k + 1 = -3 + -3k + 30 Reorder the terms: 1 + 6k + -1k = -3 + -3k + 30 Combine like terms: 6k + -1k = 5k 1 + 5k = -3 + -3k + 30 Reorder the terms: 1 + 5k = -3 + 30 + -3k Combine like terms: -3 + 30 = 27 1 + 5k = 27 + -3k Solving 1 + 5k = 27 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 1 + 5k + 3k = 27 + -3k + 3k Combine like terms: 5k + 3k = 8k 1 + 8k = 27 + -3k + 3k Combine like terms: -3k + 3k = 0 1 + 8k = 27 + 0 1 + 8k = 27 Add '-1' to each side of the equation. 1 + -1 + 8k = 27 + -1 Combine like terms: 1 + -1 = 0 0 + 8k = 27 + -1 8k = 27 + -1 Combine like terms: 27 + -1 = 26 8k = 26 Divide each side by '8'. k = 3.25 Simplifying k = 3.25
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