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Simplifying -2[(k + -1)(-3)] + -1[-1(-4)] = -1(4 + -2k) Reorder the terms: -2[(-1 + k)(-3)] + -1[-1(-4)] = -1(4 + -2k) Reorder the terms for easier multiplication: -2[-3(-1 + k)] + -1[-1(-4)] = -1(4 + -2k) -2[(-1 * -3 + k * -3)] + -1[-1(-4)] = -1(4 + -2k) -2[(3 + -3k)] + -1[-1(-4)] = -1(4 + -2k) [3 * -2 + -3k * -2] + -1[-1(-4)] = -1(4 + -2k) [-6 + 6k] + -1[-1(-4)] = -1(4 + -2k) Multiply -1 * -4 -6 + 6k + -1[4] = -1(4 + -2k) Multiply -1 * 4 -6 + 6k + -4 = -1(4 + -2k) Reorder the terms: -6 + -4 + 6k = -1(4 + -2k) Combine like terms: -6 + -4 = -10 -10 + 6k = -1(4 + -2k) -10 + 6k = (4 * -1 + -2k * -1) -10 + 6k = (-4 + 2k) Solving -10 + 6k = -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. -10 + 6k + -2k = -4 + 2k + -2k Combine like terms: 6k + -2k = 4k -10 + 4k = -4 + 2k + -2k Combine like terms: 2k + -2k = 0 -10 + 4k = -4 + 0 -10 + 4k = -4 Add '10' to each side of the equation. -10 + 10 + 4k = -4 + 10 Combine like terms: -10 + 10 = 0 0 + 4k = -4 + 10 4k = -4 + 10 Combine like terms: -4 + 10 = 6 4k = 6 Divide each side by '4'. k = 1.5 Simplifying k = 1.5
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