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Simplifying k + 2 + -3(6k + -5) = 0 Reorder the terms: k + 2 + -3(-5 + 6k) = 0 k + 2 + (-5 * -3 + 6k * -3) = 0 k + 2 + (15 + -18k) = 0 Reorder the terms: 2 + 15 + k + -18k = 0 Combine like terms: 2 + 15 = 17 17 + k + -18k = 0 Combine like terms: k + -18k = -17k 17 + -17k = 0 Solving 17 + -17k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -17k = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -17k = 0 + -17 -17k = 0 + -17 Combine like terms: 0 + -17 = -17 -17k = -17 Divide each side by '-17'. k = 1 Simplifying k = 1
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