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Simplifying 7 + -1(-2k + 4) + -6 = 7k + -20 Reorder the terms: 7 + -1(4 + -2k) + -6 = 7k + -20 7 + (4 * -1 + -2k * -1) + -6 = 7k + -20 7 + (-4 + 2k) + -6 = 7k + -20 Reorder the terms: 7 + -4 + -6 + 2k = 7k + -20 Combine like terms: 7 + -4 = 3 3 + -6 + 2k = 7k + -20 Combine like terms: 3 + -6 = -3 -3 + 2k = 7k + -20 Reorder the terms: -3 + 2k = -20 + 7k Solving -3 + 2k = -20 + 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. -3 + 2k + -7k = -20 + 7k + -7k Combine like terms: 2k + -7k = -5k -3 + -5k = -20 + 7k + -7k Combine like terms: 7k + -7k = 0 -3 + -5k = -20 + 0 -3 + -5k = -20 Add '3' to each side of the equation. -3 + 3 + -5k = -20 + 3 Combine like terms: -3 + 3 = 0 0 + -5k = -20 + 3 -5k = -20 + 3 Combine like terms: -20 + 3 = -17 -5k = -17 Divide each side by '-5'. k = 3.4 Simplifying k = 3.4
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