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Simplifying 6(-4k + 3) + 2 = 0 Reorder the terms: 6(3 + -4k) + 2 = 0 (3 * 6 + -4k * 6) + 2 = 0 (18 + -24k) + 2 = 0 Reorder the terms: 18 + 2 + -24k = 0 Combine like terms: 18 + 2 = 20 20 + -24k = 0 Solving 20 + -24k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -24k = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -24k = 0 + -20 -24k = 0 + -20 Combine like terms: 0 + -20 = -20 -24k = -20 Divide each side by '-24'. k = 0.8333333333 Simplifying k = 0.8333333333
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