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Simplifying 8(5k + 7) = 1(9k + 2) Reorder the terms: 8(7 + 5k) = 1(9k + 2) (7 * 8 + 5k * 8) = 1(9k + 2) (56 + 40k) = 1(9k + 2) Reorder the terms: 56 + 40k = 1(2 + 9k) 56 + 40k = (2 * 1 + 9k * 1) 56 + 40k = (2 + 9k) Solving 56 + 40k = 2 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. 56 + 40k + -9k = 2 + 9k + -9k Combine like terms: 40k + -9k = 31k 56 + 31k = 2 + 9k + -9k Combine like terms: 9k + -9k = 0 56 + 31k = 2 + 0 56 + 31k = 2 Add '-56' to each side of the equation. 56 + -56 + 31k = 2 + -56 Combine like terms: 56 + -56 = 0 0 + 31k = 2 + -56 31k = 2 + -56 Combine like terms: 2 + -56 = -54 31k = -54 Divide each side by '31'. k = -1.741935484 Simplifying k = -1.741935484
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