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