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Simplifying 4(7k + 3) = 2(4 + -9k) + -7k Reorder the terms: 4(3 + 7k) = 2(4 + -9k) + -7k (3 * 4 + 7k * 4) = 2(4 + -9k) + -7k (12 + 28k) = 2(4 + -9k) + -7k 12 + 28k = (4 * 2 + -9k * 2) + -7k 12 + 28k = (8 + -18k) + -7k Combine like terms: -18k + -7k = -25k 12 + 28k = 8 + -25k Solving 12 + 28k = 8 + -25k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '25k' to each side of the equation. 12 + 28k + 25k = 8 + -25k + 25k Combine like terms: 28k + 25k = 53k 12 + 53k = 8 + -25k + 25k Combine like terms: -25k + 25k = 0 12 + 53k = 8 + 0 12 + 53k = 8 Add '-12' to each side of the equation. 12 + -12 + 53k = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 53k = 8 + -12 53k = 8 + -12 Combine like terms: 8 + -12 = -4 53k = -4 Divide each side by '53'. k = -0.07547169811 Simplifying k = -0.07547169811
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