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Simplifying 3(6k + -5) + 3(8k + 3) = 20 Reorder the terms: 3(-5 + 6k) + 3(8k + 3) = 20 (-5 * 3 + 6k * 3) + 3(8k + 3) = 20 (-15 + 18k) + 3(8k + 3) = 20 Reorder the terms: -15 + 18k + 3(3 + 8k) = 20 -15 + 18k + (3 * 3 + 8k * 3) = 20 -15 + 18k + (9 + 24k) = 20 Reorder the terms: -15 + 9 + 18k + 24k = 20 Combine like terms: -15 + 9 = -6 -6 + 18k + 24k = 20 Combine like terms: 18k + 24k = 42k -6 + 42k = 20 Solving -6 + 42k = 20 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 42k = 20 + 6 Combine like terms: -6 + 6 = 0 0 + 42k = 20 + 6 42k = 20 + 6 Combine like terms: 20 + 6 = 26 42k = 26 Divide each side by '42'. k = 0.619047619 Simplifying k = 0.619047619
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