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Simplifying 5k + -14 = 8k + 4 Reorder the terms: -14 + 5k = 8k + 4 Reorder the terms: -14 + 5k = 4 + 8k Solving -14 + 5k = 4 + 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. -14 + 5k + -8k = 4 + 8k + -8k Combine like terms: 5k + -8k = -3k -14 + -3k = 4 + 8k + -8k Combine like terms: 8k + -8k = 0 -14 + -3k = 4 + 0 -14 + -3k = 4 Add '14' to each side of the equation. -14 + 14 + -3k = 4 + 14 Combine like terms: -14 + 14 = 0 0 + -3k = 4 + 14 -3k = 4 + 14 Combine like terms: 4 + 14 = 18 -3k = 18 Divide each side by '-3'. k = -6 Simplifying k = -6
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