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Simplifying 6(7k + -2) = 20 + -9k Reorder the terms: 6(-2 + 7k) = 20 + -9k (-2 * 6 + 7k * 6) = 20 + -9k (-12 + 42k) = 20 + -9k Solving -12 + 42k = 20 + -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. -12 + 42k + 9k = 20 + -9k + 9k Combine like terms: 42k + 9k = 51k -12 + 51k = 20 + -9k + 9k Combine like terms: -9k + 9k = 0 -12 + 51k = 20 + 0 -12 + 51k = 20 Add '12' to each side of the equation. -12 + 12 + 51k = 20 + 12 Combine like terms: -12 + 12 = 0 0 + 51k = 20 + 12 51k = 20 + 12 Combine like terms: 20 + 12 = 32 51k = 32 Divide each side by '51'. k = 0.6274509804 Simplifying k = 0.6274509804
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