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Simplifying 5k + -2(k + 1) = 23 Reorder the terms: 5k + -2(1 + k) = 23 5k + (1 * -2 + k * -2) = 23 5k + (-2 + -2k) = 23 Reorder the terms: -2 + 5k + -2k = 23 Combine like terms: 5k + -2k = 3k -2 + 3k = 23 Solving -2 + 3k = 23 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3k = 23 + 2 Combine like terms: -2 + 2 = 0 0 + 3k = 23 + 2 3k = 23 + 2 Combine like terms: 23 + 2 = 25 3k = 25 Divide each side by '3'. k = 8.333333333 Simplifying k = 8.333333333
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