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Simplifying 3k + 2(k + -1) = 7(k + 2) Reorder the terms: 3k + 2(-1 + k) = 7(k + 2) 3k + (-1 * 2 + k * 2) = 7(k + 2) 3k + (-2 + 2k) = 7(k + 2) Reorder the terms: -2 + 3k + 2k = 7(k + 2) Combine like terms: 3k + 2k = 5k -2 + 5k = 7(k + 2) Reorder the terms: -2 + 5k = 7(2 + k) -2 + 5k = (2 * 7 + k * 7) -2 + 5k = (14 + 7k) Solving -2 + 5k = 14 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. -2 + 5k + -7k = 14 + 7k + -7k Combine like terms: 5k + -7k = -2k -2 + -2k = 14 + 7k + -7k Combine like terms: 7k + -7k = 0 -2 + -2k = 14 + 0 -2 + -2k = 14 Add '2' to each side of the equation. -2 + 2 + -2k = 14 + 2 Combine like terms: -2 + 2 = 0 0 + -2k = 14 + 2 -2k = 14 + 2 Combine like terms: 14 + 2 = 16 -2k = 16 Divide each side by '-2'. k = -8 Simplifying k = -8
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