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Simplifying -2(k + 4) + -2(3k + 1) + -7k = 0 Reorder the terms: -2(4 + k) + -2(3k + 1) + -7k = 0 (4 * -2 + k * -2) + -2(3k + 1) + -7k = 0 (-8 + -2k) + -2(3k + 1) + -7k = 0 Reorder the terms: -8 + -2k + -2(1 + 3k) + -7k = 0 -8 + -2k + (1 * -2 + 3k * -2) + -7k = 0 -8 + -2k + (-2 + -6k) + -7k = 0 Reorder the terms: -8 + -2 + -2k + -6k + -7k = 0 Combine like terms: -8 + -2 = -10 -10 + -2k + -6k + -7k = 0 Combine like terms: -2k + -6k = -8k -10 + -8k + -7k = 0 Combine like terms: -8k + -7k = -15k -10 + -15k = 0 Solving -10 + -15k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -15k = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -15k = 0 + 10 -15k = 0 + 10 Combine like terms: 0 + 10 = 10 -15k = 10 Divide each side by '-15'. k = -0.6666666667 Simplifying k = -0.6666666667
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