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Simplifying -1[-1(-1k)] + -1(-2)(-2 + 5) = -1k + -1(4k + 3) Remove parenthesis around (-1k) -1[-1 * -1k] + -1(-2)(-2 + 5) = -1k + -1(4k + 3) Multiply -1 * -1 -1[1k] + -1(-2)(-2 + 5) = -1k + -1(4k + 3) Remove brackets around [1k] -1 * 1k + -1(-2)(-2 + 5) = -1k + -1(4k + 3) Multiply -1 * 1 -1k + -1(-2)(-2 + 5) = -1k + -1(4k + 3) Combine like terms: -2 + 5 = 3 -1k + -1 * -2(3) = -1k + -1(4k + 3) Multiply -1 * -2 -1k + 2 * 3 = -1k + -1(4k + 3) Multiply 2 * 3 -1k + 6 = -1k + -1(4k + 3) Reorder the terms: 6 + -1k = -1k + -1(4k + 3) Reorder the terms: 6 + -1k = -1k + -1(3 + 4k) 6 + -1k = -1k + (3 * -1 + 4k * -1) 6 + -1k = -1k + (-3 + -4k) Reorder the terms: 6 + -1k = -3 + -1k + -4k Combine like terms: -1k + -4k = -5k 6 + -1k = -3 + -5k Solving 6 + -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. 6 + -1k + 5k = -3 + -5k + 5k Combine like terms: -1k + 5k = 4k 6 + 4k = -3 + -5k + 5k Combine like terms: -5k + 5k = 0 6 + 4k = -3 + 0 6 + 4k = -3 Add '-6' to each side of the equation. 6 + -6 + 4k = -3 + -6 Combine like terms: 6 + -6 = 0 0 + 4k = -3 + -6 4k = -3 + -6 Combine like terms: -3 + -6 = -9 4k = -9 Divide each side by '4'. k = -2.25 Simplifying k = -2.25
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