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Simplifying 5k + (k + 15) + -3(k + 2) = 0 Reorder the terms: 5k + (15 + k) + -3(k + 2) = 0 Remove parenthesis around (15 + k) 5k + 15 + k + -3(k + 2) = 0 Reorder the terms: 5k + 15 + k + -3(2 + k) = 0 5k + 15 + k + (2 * -3 + k * -3) = 0 5k + 15 + k + (-6 + -3k) = 0 Reorder the terms: 15 + -6 + 5k + k + -3k = 0 Combine like terms: 15 + -6 = 9 9 + 5k + k + -3k = 0 Combine like terms: 5k + k = 6k 9 + 6k + -3k = 0 Combine like terms: 6k + -3k = 3k 9 + 3k = 0 Solving 9 + 3k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 3k = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 3k = 0 + -9 3k = 0 + -9 Combine like terms: 0 + -9 = -9 3k = -9 Divide each side by '3'. k = -3 Simplifying k = -3
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