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Simplifying 5(k + -3) = 12k + -6 + -11k + 15 Reorder the terms: 5(-3 + k) = 12k + -6 + -11k + 15 (-3 * 5 + k * 5) = 12k + -6 + -11k + 15 (-15 + 5k) = 12k + -6 + -11k + 15 Reorder the terms: -15 + 5k = -6 + 15 + 12k + -11k Combine like terms: -6 + 15 = 9 -15 + 5k = 9 + 12k + -11k Combine like terms: 12k + -11k = 1k -15 + 5k = 9 + 1k Solving -15 + 5k = 9 + 1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -15 + 5k + -1k = 9 + 1k + -1k Combine like terms: 5k + -1k = 4k -15 + 4k = 9 + 1k + -1k Combine like terms: 1k + -1k = 0 -15 + 4k = 9 + 0 -15 + 4k = 9 Add '15' to each side of the equation. -15 + 15 + 4k = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 4k = 9 + 15 4k = 9 + 15 Combine like terms: 9 + 15 = 24 4k = 24 Divide each side by '4'. k = 6 Simplifying k = 6
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