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Simplifying 2(k + 1) + -3 = -4 + 5(k + -2) Reorder the terms: 2(1 + k) + -3 = -4 + 5(k + -2) (1 * 2 + k * 2) + -3 = -4 + 5(k + -2) (2 + 2k) + -3 = -4 + 5(k + -2) Reorder the terms: 2 + -3 + 2k = -4 + 5(k + -2) Combine like terms: 2 + -3 = -1 -1 + 2k = -4 + 5(k + -2) Reorder the terms: -1 + 2k = -4 + 5(-2 + k) -1 + 2k = -4 + (-2 * 5 + k * 5) -1 + 2k = -4 + (-10 + 5k) Combine like terms: -4 + -10 = -14 -1 + 2k = -14 + 5k Solving -1 + 2k = -14 + 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 = -14 + 5k + -5k Combine like terms: 2k + -5k = -3k -1 + -3k = -14 + 5k + -5k Combine like terms: 5k + -5k = 0 -1 + -3k = -14 + 0 -1 + -3k = -14 Add '1' to each side of the equation. -1 + 1 + -3k = -14 + 1 Combine like terms: -1 + 1 = 0 0 + -3k = -14 + 1 -3k = -14 + 1 Combine like terms: -14 + 1 = -13 -3k = -13 Divide each side by '-3'. k = 4.333333333 Simplifying k = 4.333333333
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