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Simplifying 6 + -4(2 + 7k) = 5(2k + 4) 6 + (2 * -4 + 7k * -4) = 5(2k + 4) 6 + (-8 + -28k) = 5(2k + 4) Combine like terms: 6 + -8 = -2 -2 + -28k = 5(2k + 4) Reorder the terms: -2 + -28k = 5(4 + 2k) -2 + -28k = (4 * 5 + 2k * 5) -2 + -28k = (20 + 10k) Solving -2 + -28k = 20 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. -2 + -28k + -10k = 20 + 10k + -10k Combine like terms: -28k + -10k = -38k -2 + -38k = 20 + 10k + -10k Combine like terms: 10k + -10k = 0 -2 + -38k = 20 + 0 -2 + -38k = 20 Add '2' to each side of the equation. -2 + 2 + -38k = 20 + 2 Combine like terms: -2 + 2 = 0 0 + -38k = 20 + 2 -38k = 20 + 2 Combine like terms: 20 + 2 = 22 -38k = 22 Divide each side by '-38'. k = -0.5789473684 Simplifying k = -0.5789473684
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