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Simplifying (2k + 3) + -1(k + 2) = 17 + -1(2k + 3) Reorder the terms: (3 + 2k) + -1(k + 2) = 17 + -1(2k + 3) Remove parenthesis around (3 + 2k) 3 + 2k + -1(k + 2) = 17 + -1(2k + 3) Reorder the terms: 3 + 2k + -1(2 + k) = 17 + -1(2k + 3) 3 + 2k + (2 * -1 + k * -1) = 17 + -1(2k + 3) 3 + 2k + (-2 + -1k) = 17 + -1(2k + 3) Reorder the terms: 3 + -2 + 2k + -1k = 17 + -1(2k + 3) Combine like terms: 3 + -2 = 1 1 + 2k + -1k = 17 + -1(2k + 3) Combine like terms: 2k + -1k = 1k 1 + 1k = 17 + -1(2k + 3) Reorder the terms: 1 + 1k = 17 + -1(3 + 2k) 1 + 1k = 17 + (3 * -1 + 2k * -1) 1 + 1k = 17 + (-3 + -2k) Combine like terms: 17 + -3 = 14 1 + 1k = 14 + -2k Solving 1 + 1k = 14 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 1 + 1k + 2k = 14 + -2k + 2k Combine like terms: 1k + 2k = 3k 1 + 3k = 14 + -2k + 2k Combine like terms: -2k + 2k = 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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