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Simplifying 5k + -2 = 8k + -50 Reorder the terms: -2 + 5k = 8k + -50 Reorder the terms: -2 + 5k = -50 + 8k Solving -2 + 5k = -50 + 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. -2 + 5k + -8k = -50 + 8k + -8k Combine like terms: 5k + -8k = -3k -2 + -3k = -50 + 8k + -8k Combine like terms: 8k + -8k = 0 -2 + -3k = -50 + 0 -2 + -3k = -50 Add '2' to each side of the equation. -2 + 2 + -3k = -50 + 2 Combine like terms: -2 + 2 = 0 0 + -3k = -50 + 2 -3k = -50 + 2 Combine like terms: -50 + 2 = -48 -3k = -48 Divide each side by '-3'. k = 16 Simplifying k = 16
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