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Simplifying 5(-4 + -1k) = 1 + 2k (-4 * 5 + -1k * 5) = 1 + 2k (-20 + -5k) = 1 + 2k Solving -20 + -5k = 1 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -20 + -5k + -2k = 1 + 2k + -2k Combine like terms: -5k + -2k = -7k -20 + -7k = 1 + 2k + -2k Combine like terms: 2k + -2k = 0 -20 + -7k = 1 + 0 -20 + -7k = 1 Add '20' to each side of the equation. -20 + 20 + -7k = 1 + 20 Combine like terms: -20 + 20 = 0 0 + -7k = 1 + 20 -7k = 1 + 20 Combine like terms: 1 + 20 = 21 -7k = 21 Divide each side by '-7'. k = -3 Simplifying k = -3
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