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Simplifying 14k + -53 = 3k + 13 Reorder the terms: -53 + 14k = 3k + 13 Reorder the terms: -53 + 14k = 13 + 3k Solving -53 + 14k = 13 + 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. -53 + 14k + -3k = 13 + 3k + -3k Combine like terms: 14k + -3k = 11k -53 + 11k = 13 + 3k + -3k Combine like terms: 3k + -3k = 0 -53 + 11k = 13 + 0 -53 + 11k = 13 Add '53' to each side of the equation. -53 + 53 + 11k = 13 + 53 Combine like terms: -53 + 53 = 0 0 + 11k = 13 + 53 11k = 13 + 53 Combine like terms: 13 + 53 = 66 11k = 66 Divide each side by '11'. k = 6 Simplifying k = 6
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