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Simplifying k + -6(3k + 2) = 0 Reorder the terms: k + -6(2 + 3k) = 0 k + (2 * -6 + 3k * -6) = 0 k + (-12 + -18k) = 0 Reorder the terms: -12 + k + -18k = 0 Combine like terms: k + -18k = -17k -12 + -17k = 0 Solving -12 + -17k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -17k = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -17k = 0 + 12 -17k = 0 + 12 Combine like terms: 0 + 12 = 12 -17k = 12 Divide each side by '-17'. k = -0.7058823529 Simplifying k = -0.7058823529
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