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Simplifying 3(2k + 4) + 6(-5k) + -1(-8) = 0 Reorder the terms: 3(4 + 2k) + 6(-5k) + -1(-8) = 0 (4 * 3 + 2k * 3) + 6(-5k) + -1(-8) = 0 (12 + 6k) + 6(-5k) + -1(-8) = 0 Remove parenthesis around (-5k) 12 + 6k + 6 * -5k + -1(-8) = 0 Multiply 6 * -5 12 + 6k + -30k + -1(-8) = 0 Multiply -1 * -8 12 + 6k + -30k + 8 = 0 Reorder the terms: 12 + 8 + 6k + -30k = 0 Combine like terms: 12 + 8 = 20 20 + 6k + -30k = 0 Combine like terms: 6k + -30k = -24k 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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