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Simplifying -53 = 6k + -5 Reorder the terms: -53 = -5 + 6k Solving -53 = -5 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -53 + -6k = -5 + 6k + -6k Combine like terms: 6k + -6k = 0 -53 + -6k = -5 + 0 -53 + -6k = -5 Add '53' to each side of the equation. -53 + 53 + -6k = -5 + 53 Combine like terms: -53 + 53 = 0 0 + -6k = -5 + 53 -6k = -5 + 53 Combine like terms: -5 + 53 = 48 -6k = 48 Divide each side by '-6'. k = -8 Simplifying k = -8
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