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