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Simplifying 3(k + 8) + -2(3k + 8) = 0 Reorder the terms: 3(8 + k) + -2(3k + 8) = 0 (8 * 3 + k * 3) + -2(3k + 8) = 0 (24 + 3k) + -2(3k + 8) = 0 Reorder the terms: 24 + 3k + -2(8 + 3k) = 0 24 + 3k + (8 * -2 + 3k * -2) = 0 24 + 3k + (-16 + -6k) = 0 Reorder the terms: 24 + -16 + 3k + -6k = 0 Combine like terms: 24 + -16 = 8 8 + 3k + -6k = 0 Combine like terms: 3k + -6k = -3k 8 + -3k = 0 Solving 8 + -3k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3k = 0 + -8 -3k = 0 + -8 Combine like terms: 0 + -8 = -8 -3k = -8 Divide each side by '-3'. k = 2.666666667 Simplifying k = 2.666666667
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