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Simplifying 3(k + -1) + -3(2k + 2) = 24 Reorder the terms: 3(-1 + k) + -3(2k + 2) = 24 (-1 * 3 + k * 3) + -3(2k + 2) = 24 (-3 + 3k) + -3(2k + 2) = 24 Reorder the terms: -3 + 3k + -3(2 + 2k) = 24 -3 + 3k + (2 * -3 + 2k * -3) = 24 -3 + 3k + (-6 + -6k) = 24 Reorder the terms: -3 + -6 + 3k + -6k = 24 Combine like terms: -3 + -6 = -9 -9 + 3k + -6k = 24 Combine like terms: 3k + -6k = -3k -9 + -3k = 24 Solving -9 + -3k = 24 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -3k = 24 + 9 Combine like terms: -9 + 9 = 0 0 + -3k = 24 + 9 -3k = 24 + 9 Combine like terms: 24 + 9 = 33 -3k = 33 Divide each side by '-3'. k = -11 Simplifying k = -11
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