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Simplifying -2(-12 + 9k) = -3(4k + 111) + 3 (-12 * -2 + 9k * -2) = -3(4k + 111) + 3 (24 + -18k) = -3(4k + 111) + 3 Reorder the terms: 24 + -18k = -3(111 + 4k) + 3 24 + -18k = (111 * -3 + 4k * -3) + 3 24 + -18k = (-333 + -12k) + 3 Reorder the terms: 24 + -18k = -333 + 3 + -12k Combine like terms: -333 + 3 = -330 24 + -18k = -330 + -12k Solving 24 + -18k = -330 + -12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12k' to each side of the equation. 24 + -18k + 12k = -330 + -12k + 12k Combine like terms: -18k + 12k = -6k 24 + -6k = -330 + -12k + 12k Combine like terms: -12k + 12k = 0 24 + -6k = -330 + 0 24 + -6k = -330 Add '-24' to each side of the equation. 24 + -24 + -6k = -330 + -24 Combine like terms: 24 + -24 = 0 0 + -6k = -330 + -24 -6k = -330 + -24 Combine like terms: -330 + -24 = -354 -6k = -354 Divide each side by '-6'. k = 59 Simplifying k = 59
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