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Simplifying 3(k + 5) = 2(3k + -6) Reorder the terms: 3(5 + k) = 2(3k + -6) (5 * 3 + k * 3) = 2(3k + -6) (15 + 3k) = 2(3k + -6) Reorder the terms: 15 + 3k = 2(-6 + 3k) 15 + 3k = (-6 * 2 + 3k * 2) 15 + 3k = (-12 + 6k) Solving 15 + 3k = -12 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 15 + 3k + -6k = -12 + 6k + -6k Combine like terms: 3k + -6k = -3k 15 + -3k = -12 + 6k + -6k Combine like terms: 6k + -6k = 0 15 + -3k = -12 + 0 15 + -3k = -12 Add '-15' to each side of the equation. 15 + -15 + -3k = -12 + -15 Combine like terms: 15 + -15 = 0 0 + -3k = -12 + -15 -3k = -12 + -15 Combine like terms: -12 + -15 = -27 -3k = -27 Divide each side by '-3'. k = 9 Simplifying k = 9
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