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Simplifying 5 + -1(2k + -1) = 7 Reorder the terms: 5 + -1(-1 + 2k) = 7 5 + (-1 * -1 + 2k * -1) = 7 5 + (1 + -2k) = 7 Combine like terms: 5 + 1 = 6 6 + -2k = 7 Solving 6 + -2k = 7 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -2k = 7 + -6 Combine like terms: 6 + -6 = 0 0 + -2k = 7 + -6 -2k = 7 + -6 Combine like terms: 7 + -6 = 1 -2k = 1 Divide each side by '-2'. k = -0.5 Simplifying k = -0.5
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