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Simplifying 245 = 5(6k + 7) Reorder the terms: 245 = 5(7 + 6k) 245 = (7 * 5 + 6k * 5) 245 = (35 + 30k) Solving 245 = 35 + 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. 245 + -30k = 35 + 30k + -30k Combine like terms: 30k + -30k = 0 245 + -30k = 35 + 0 245 + -30k = 35 Add '-245' to each side of the equation. 245 + -245 + -30k = 35 + -245 Combine like terms: 245 + -245 = 0 0 + -30k = 35 + -245 -30k = 35 + -245 Combine like terms: 35 + -245 = -210 -30k = -210 Divide each side by '-30'. k = 7 Simplifying k = 7
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