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Simplifying 65 = 5(-6k + 1) Reorder the terms: 65 = 5(1 + -6k) 65 = (1 * 5 + -6k * 5) 65 = (5 + -30k) Solving 65 = 5 + -30k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '30k' to each side of the equation. 65 + 30k = 5 + -30k + 30k Combine like terms: -30k + 30k = 0 65 + 30k = 5 + 0 65 + 30k = 5 Add '-65' to each side of the equation. 65 + -65 + 30k = 5 + -65 Combine like terms: 65 + -65 = 0 0 + 30k = 5 + -65 30k = 5 + -65 Combine like terms: 5 + -65 = -60 30k = -60 Divide each side by '30'. k = -2 Simplifying k = -2
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