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Simplifying 8(5k + 7) = 6(9k + 2) Reorder the terms: 8(7 + 5k) = 6(9k + 2) (7 * 8 + 5k * 8) = 6(9k + 2) (56 + 40k) = 6(9k + 2) Reorder the terms: 56 + 40k = 6(2 + 9k) 56 + 40k = (2 * 6 + 9k * 6) 56 + 40k = (12 + 54k) Solving 56 + 40k = 12 + 54k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-54k' to each side of the equation. 56 + 40k + -54k = 12 + 54k + -54k Combine like terms: 40k + -54k = -14k 56 + -14k = 12 + 54k + -54k Combine like terms: 54k + -54k = 0 56 + -14k = 12 + 0 56 + -14k = 12 Add '-56' to each side of the equation. 56 + -56 + -14k = 12 + -56 Combine like terms: 56 + -56 = 0 0 + -14k = 12 + -56 -14k = 12 + -56 Combine like terms: 12 + -56 = -44 -14k = -44 Divide each side by '-14'. k = 3.142857143 Simplifying k = 3.142857143
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