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Simplifying k + -8 + 4 + k = -2(-7k + -3) + -2(7k + -5) Reorder the terms: -8 + 4 + k + k = -2(-7k + -3) + -2(7k + -5) Combine like terms: -8 + 4 = -4 -4 + k + k = -2(-7k + -3) + -2(7k + -5) Combine like terms: k + k = 2k -4 + 2k = -2(-7k + -3) + -2(7k + -5) Reorder the terms: -4 + 2k = -2(-3 + -7k) + -2(7k + -5) -4 + 2k = (-3 * -2 + -7k * -2) + -2(7k + -5) -4 + 2k = (6 + 14k) + -2(7k + -5) Reorder the terms: -4 + 2k = 6 + 14k + -2(-5 + 7k) -4 + 2k = 6 + 14k + (-5 * -2 + 7k * -2) -4 + 2k = 6 + 14k + (10 + -14k) Reorder the terms: -4 + 2k = 6 + 10 + 14k + -14k Combine like terms: 6 + 10 = 16 -4 + 2k = 16 + 14k + -14k Combine like terms: 14k + -14k = 0 -4 + 2k = 16 + 0 -4 + 2k = 16 Solving -4 + 2k = 16 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 2k = 16 + 4 Combine like terms: -4 + 4 = 0 0 + 2k = 16 + 4 2k = 16 + 4 Combine like terms: 16 + 4 = 20 2k = 20 Divide each side by '2'. k = 10 Simplifying k = 10
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