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