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Simplifying 5 + 3(6k + -4) = 0 Reorder the terms: 5 + 3(-4 + 6k) = 0 5 + (-4 * 3 + 6k * 3) = 0 5 + (-12 + 18k) = 0 Combine like terms: 5 + -12 = -7 -7 + 18k = 0 Solving -7 + 18k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 18k = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 18k = 0 + 7 18k = 0 + 7 Combine like terms: 0 + 7 = 7 18k = 7 Divide each side by '18'. k = 0.3888888889 Simplifying k = 0.3888888889
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