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Simplifying -1(-1k) + -1(-2)(2k + -5) + 7 = -1(2k + 4) Remove parenthesis around (-1k) -1 * -1k + -1(-2)(2k + -5) + 7 = -1(2k + 4) Multiply -1 * -1 1k + -1(-2)(2k + -5) + 7 = -1(2k + 4) Reorder the terms: 1k + -1 * -2(-5 + 2k) + 7 = -1(2k + 4) Multiply -1 * -2 1k + 2(-5 + 2k) + 7 = -1(2k + 4) 1k + (-5 * 2 + 2k * 2) + 7 = -1(2k + 4) 1k + (-10 + 4k) + 7 = -1(2k + 4) Reorder the terms: -10 + 7 + 1k + 4k = -1(2k + 4) Combine like terms: -10 + 7 = -3 -3 + 1k + 4k = -1(2k + 4) Combine like terms: 1k + 4k = 5k -3 + 5k = -1(2k + 4) Reorder the terms: -3 + 5k = -1(4 + 2k) -3 + 5k = (4 * -1 + 2k * -1) -3 + 5k = (-4 + -2k) Solving -3 + 5k = -4 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. -3 + 5k + 2k = -4 + -2k + 2k Combine like terms: 5k + 2k = 7k -3 + 7k = -4 + -2k + 2k Combine like terms: -2k + 2k = 0 -3 + 7k = -4 + 0 -3 + 7k = -4 Add '3' to each side of the equation. -3 + 3 + 7k = -4 + 3 Combine like terms: -3 + 3 = 0 0 + 7k = -4 + 3 7k = -4 + 3 Combine like terms: -4 + 3 = -1 7k = -1 Divide each side by '7'. k = -0.1428571429 Simplifying k = -0.1428571429
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