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Simplifying 3k + -1(-2k + -1(3 + -1(2k + 4))) = 0 Reorder the terms: 3k + -1(-2k + -1(3 + -1(4 + 2k))) = 0 3k + -1(-2k + -1(3 + (4 * -1 + 2k * -1))) = 0 3k + -1(-2k + -1(3 + (-4 + -2k))) = 0 Combine like terms: 3 + -4 = -1 3k + -1(-2k + -1(-1 + -2k)) = 0 3k + -1(-2k + (-1 * -1 + -2k * -1)) = 0 3k + -1(-2k + (1 + 2k)) = 0 Reorder the terms: 3k + -1(1 + -2k + 2k) = 0 Combine like terms: -2k + 2k = 0 3k + -1(1 + 0) = 0 3k + -1(1) = 0 Multiply -1 * 1 3k + -1 = 0 Reorder the terms: -1 + 3k = 0 Solving -1 + 3k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 3k = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3k = 0 + 1 3k = 0 + 1 Combine like terms: 0 + 1 = 1 3k = 1 Divide each side by '3'. k = 0.3333333333 Simplifying k = 0.3333333333
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