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Simplifying -3(k + 12) = -8k + 19 Reorder the terms: -3(12 + k) = -8k + 19 (12 * -3 + k * -3) = -8k + 19 (-36 + -3k) = -8k + 19 Reorder the terms: -36 + -3k = 19 + -8k Solving -36 + -3k = 19 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. -36 + -3k + 8k = 19 + -8k + 8k Combine like terms: -3k + 8k = 5k -36 + 5k = 19 + -8k + 8k Combine like terms: -8k + 8k = 0 -36 + 5k = 19 + 0 -36 + 5k = 19 Add '36' to each side of the equation. -36 + 36 + 5k = 19 + 36 Combine like terms: -36 + 36 = 0 0 + 5k = 19 + 36 5k = 19 + 36 Combine like terms: 19 + 36 = 55 5k = 55 Divide each side by '5'. k = 11 Simplifying k = 11
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