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Simplifying 3(2k + -5) = -12k + 9 + -6k Reorder the terms: 3(-5 + 2k) = -12k + 9 + -6k (-5 * 3 + 2k * 3) = -12k + 9 + -6k (-15 + 6k) = -12k + 9 + -6k Reorder the terms: -15 + 6k = 9 + -12k + -6k Combine like terms: -12k + -6k = -18k -15 + 6k = 9 + -18k Solving -15 + 6k = 9 + -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. -15 + 6k + 18k = 9 + -18k + 18k Combine like terms: 6k + 18k = 24k -15 + 24k = 9 + -18k + 18k Combine like terms: -18k + 18k = 0 -15 + 24k = 9 + 0 -15 + 24k = 9 Add '15' to each side of the equation. -15 + 15 + 24k = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 24k = 9 + 15 24k = 9 + 15 Combine like terms: 9 + 15 = 24 24k = 24 Divide each side by '24'. k = 1 Simplifying k = 1
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