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Simplifying 2(3k + 2) + -3(k + -7) = 0 Reorder the terms: 2(2 + 3k) + -3(k + -7) = 0 (2 * 2 + 3k * 2) + -3(k + -7) = 0 (4 + 6k) + -3(k + -7) = 0 Reorder the terms: 4 + 6k + -3(-7 + k) = 0 4 + 6k + (-7 * -3 + k * -3) = 0 4 + 6k + (21 + -3k) = 0 Reorder the terms: 4 + 21 + 6k + -3k = 0 Combine like terms: 4 + 21 = 25 25 + 6k + -3k = 0 Combine like terms: 6k + -3k = 3k 25 + 3k = 0 Solving 25 + 3k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 3k = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 3k = 0 + -25 3k = 0 + -25 Combine like terms: 0 + -25 = -25 3k = -25 Divide each side by '3'. k = -8.333333333 Simplifying k = -8.333333333
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