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Simplifying 2k + -4(2 + -5k) = 7k + -5 2k + (2 * -4 + -5k * -4) = 7k + -5 2k + (-8 + 20k) = 7k + -5 Reorder the terms: -8 + 2k + 20k = 7k + -5 Combine like terms: 2k + 20k = 22k -8 + 22k = 7k + -5 Reorder the terms: -8 + 22k = -5 + 7k Solving -8 + 22k = -5 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. -8 + 22k + -7k = -5 + 7k + -7k Combine like terms: 22k + -7k = 15k -8 + 15k = -5 + 7k + -7k Combine like terms: 7k + -7k = 0 -8 + 15k = -5 + 0 -8 + 15k = -5 Add '8' to each side of the equation. -8 + 8 + 15k = -5 + 8 Combine like terms: -8 + 8 = 0 0 + 15k = -5 + 8 15k = -5 + 8 Combine like terms: -5 + 8 = 3 15k = 3 Divide each side by '15'. k = 0.2 Simplifying k = 0.2
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