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Simplifying (2k + -1) + -4(2k + -1) + 4 = 0 Reorder the terms: (-1 + 2k) + -4(2k + -1) + 4 = 0 Remove parenthesis around (-1 + 2k) -1 + 2k + -4(2k + -1) + 4 = 0 Reorder the terms: -1 + 2k + -4(-1 + 2k) + 4 = 0 -1 + 2k + (-1 * -4 + 2k * -4) + 4 = 0 -1 + 2k + (4 + -8k) + 4 = 0 Reorder the terms: -1 + 4 + 4 + 2k + -8k = 0 Combine like terms: -1 + 4 = 3 3 + 4 + 2k + -8k = 0 Combine like terms: 3 + 4 = 7 7 + 2k + -8k = 0 Combine like terms: 2k + -8k = -6k 7 + -6k = 0 Solving 7 + -6k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -6k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6k = 0 + -7 -6k = 0 + -7 Combine like terms: 0 + -7 = -7 -6k = -7 Divide each side by '-6'. k = 1.166666667 Simplifying k = 1.166666667
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