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Simplifying 215 = 5(1 + -6k) 215 = (1 * 5 + -6k * 5) 215 = (5 + -30k) Solving 215 = 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. 215 + 30k = 5 + -30k + 30k Combine like terms: -30k + 30k = 0 215 + 30k = 5 + 0 215 + 30k = 5 Add '-215' to each side of the equation. 215 + -215 + 30k = 5 + -215 Combine like terms: 215 + -215 = 0 0 + 30k = 5 + -215 30k = 5 + -215 Combine like terms: 5 + -215 = -210 30k = -210 Divide each side by '30'. k = -7 Simplifying k = -7
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