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Simplifying -1[-1(-1k)] + -1(-2)(-2 + k) = -1k + -1(4k + 3) Remove parenthesis around (-1k) -1[-1 * -1k] + -1(-2)(-2 + k) = -1k + -1(4k + 3) Multiply -1 * -1 -1[1k] + -1(-2)(-2 + k) = -1k + -1(4k + 3) Remove brackets around [1k] -1 * 1k + -1(-2)(-2 + k) = -1k + -1(4k + 3) Multiply -1 * 1 -1k + -1(-2)(-2 + k) = -1k + -1(4k + 3) Multiply -1 * -2 -1k + 2(-2 + k) = -1k + -1(4k + 3) -1k + (-2 * 2 + k * 2) = -1k + -1(4k + 3) -1k + (-4 + 2k) = -1k + -1(4k + 3) Reorder the terms: -4 + -1k + 2k = -1k + -1(4k + 3) Combine like terms: -1k + 2k = 1k -4 + 1k = -1k + -1(4k + 3) Reorder the terms: -4 + 1k = -1k + -1(3 + 4k) -4 + 1k = -1k + (3 * -1 + 4k * -1) -4 + 1k = -1k + (-3 + -4k) Reorder the terms: -4 + 1k = -3 + -1k + -4k Combine like terms: -1k + -4k = -5k -4 + 1k = -3 + -5k Solving -4 + 1k = -3 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -4 + 1k + 5k = -3 + -5k + 5k Combine like terms: 1k + 5k = 6k -4 + 6k = -3 + -5k + 5k Combine like terms: -5k + 5k = 0 -4 + 6k = -3 + 0 -4 + 6k = -3 Add '4' to each side of the equation. -4 + 4 + 6k = -3 + 4 Combine like terms: -4 + 4 = 0 0 + 6k = -3 + 4 6k = -3 + 4 Combine like terms: -3 + 4 = 1 6k = 1 Divide each side by '6'. k = 0.1666666667 Simplifying k = 0.1666666667
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