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Simplifying 5k + -3k + -1(4k + 3) = 11k + -3(2k + -6) Reorder the terms: 5k + -3k + -1(3 + 4k) = 11k + -3(2k + -6) 5k + -3k + (3 * -1 + 4k * -1) = 11k + -3(2k + -6) 5k + -3k + (-3 + -4k) = 11k + -3(2k + -6) Reorder the terms: -3 + 5k + -3k + -4k = 11k + -3(2k + -6) Combine like terms: 5k + -3k = 2k -3 + 2k + -4k = 11k + -3(2k + -6) Combine like terms: 2k + -4k = -2k -3 + -2k = 11k + -3(2k + -6) Reorder the terms: -3 + -2k = 11k + -3(-6 + 2k) -3 + -2k = 11k + (-6 * -3 + 2k * -3) -3 + -2k = 11k + (18 + -6k) Reorder the terms: -3 + -2k = 18 + 11k + -6k Combine like terms: 11k + -6k = 5k -3 + -2k = 18 + 5k Solving -3 + -2k = 18 + 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. -3 + -2k + -5k = 18 + 5k + -5k Combine like terms: -2k + -5k = -7k -3 + -7k = 18 + 5k + -5k Combine like terms: 5k + -5k = 0 -3 + -7k = 18 + 0 -3 + -7k = 18 Add '3' to each side of the equation. -3 + 3 + -7k = 18 + 3 Combine like terms: -3 + 3 = 0 0 + -7k = 18 + 3 -7k = 18 + 3 Combine like terms: 18 + 3 = 21 -7k = 21 Divide each side by '-7'. k = -3 Simplifying k = -3
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