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Simplifying (2k + 1) = 5(k + -2) Reorder the terms: (1 + 2k) = 5(k + -2) Remove parenthesis around (1 + 2k) 1 + 2k = 5(k + -2) Reorder the terms: 1 + 2k = 5(-2 + k) 1 + 2k = (-2 * 5 + k * 5) 1 + 2k = (-10 + 5k) Solving 1 + 2k = -10 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 1 + 2k + -5k = -10 + 5k + -5k Combine like terms: 2k + -5k = -3k 1 + -3k = -10 + 5k + -5k Combine like terms: 5k + -5k = 0 1 + -3k = -10 + 0 1 + -3k = -10 Add '-1' to each side of the equation. 1 + -1 + -3k = -10 + -1 Combine like terms: 1 + -1 = 0 0 + -3k = -10 + -1 -3k = -10 + -1 Combine like terms: -10 + -1 = -11 -3k = -11 Divide each side by '-3'. k = 3.666666667 Simplifying k = 3.666666667
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