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Simplifying -1[2(-3 + -1k)] = -4(-3) + -3k -1[(-3 * 2 + -1k * 2)] = -4(-3) + -3k -1[(-6 + -2k)] = -4(-3) + -3k [-6 * -1 + -2k * -1] = -4(-3) + -3k [6 + 2k] = -4(-3) + -3k Multiply -4 * -3 6 + 2k = 12 + -3k Solving 6 + 2k = 12 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 6 + 2k + 3k = 12 + -3k + 3k Combine like terms: 2k + 3k = 5k 6 + 5k = 12 + -3k + 3k Combine like terms: -3k + 3k = 0 6 + 5k = 12 + 0 6 + 5k = 12 Add '-6' to each side of the equation. 6 + -6 + 5k = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 5k = 12 + -6 5k = 12 + -6 Combine like terms: 12 + -6 = 6 5k = 6 Divide each side by '5'. k = 1.2 Simplifying k = 1.2
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