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Simplifying 4(7k + 3) = 2(4 + -9k) Reorder the terms: 4(3 + 7k) = 2(4 + -9k) (3 * 4 + 7k * 4) = 2(4 + -9k) (12 + 28k) = 2(4 + -9k) 12 + 28k = (4 * 2 + -9k * 2) 12 + 28k = (8 + -18k) Solving 12 + 28k = 8 + -18k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '18k' to each side of the equation. 12 + 28k + 18k = 8 + -18k + 18k Combine like terms: 28k + 18k = 46k 12 + 46k = 8 + -18k + 18k Combine like terms: -18k + 18k = 0 12 + 46k = 8 + 0 12 + 46k = 8 Add '-12' to each side of the equation. 12 + -12 + 46k = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 46k = 8 + -12 46k = 8 + -12 Combine like terms: 8 + -12 = -4 46k = -4 Divide each side by '46'. k = -0.08695652174 Simplifying k = -0.08695652174
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