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Simplifying -6k + 3(6k + -3) = 3(6k + 7) Reorder the terms: -6k + 3(-3 + 6k) = 3(6k + 7) -6k + (-3 * 3 + 6k * 3) = 3(6k + 7) -6k + (-9 + 18k) = 3(6k + 7) Reorder the terms: -9 + -6k + 18k = 3(6k + 7) Combine like terms: -6k + 18k = 12k -9 + 12k = 3(6k + 7) Reorder the terms: -9 + 12k = 3(7 + 6k) -9 + 12k = (7 * 3 + 6k * 3) -9 + 12k = (21 + 18k) Solving -9 + 12k = 21 + 18k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18k' to each side of the equation. -9 + 12k + -18k = 21 + 18k + -18k Combine like terms: 12k + -18k = -6k -9 + -6k = 21 + 18k + -18k Combine like terms: 18k + -18k = 0 -9 + -6k = 21 + 0 -9 + -6k = 21 Add '9' to each side of the equation. -9 + 9 + -6k = 21 + 9 Combine like terms: -9 + 9 = 0 0 + -6k = 21 + 9 -6k = 21 + 9 Combine like terms: 21 + 9 = 30 -6k = 30 Divide each side by '-6'. k = -5 Simplifying k = -5
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