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Simplifying 53 = 3k + -1 Reorder the terms: 53 = -1 + 3k Solving 53 = -1 + 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 + -3k = -1 + 3k + -3k Combine like terms: 3k + -3k = 0 53 + -3k = -1 + 0 53 + -3k = -1 Add '-53' to each side of the equation. 53 + -53 + -3k = -1 + -53 Combine like terms: 53 + -53 = 0 0 + -3k = -1 + -53 -3k = -1 + -53 Combine like terms: -1 + -53 = -54 -3k = -54 Divide each side by '-3'. k = 18 Simplifying k = 18
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