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Simplifying 12 + 5k = -4(3k + -3) Reorder the terms: 12 + 5k = -4(-3 + 3k) 12 + 5k = (-3 * -4 + 3k * -4) 12 + 5k = (12 + -12k) Add '-12' to each side of the equation. 12 + -12 + 5k = 12 + -12 + -12k Combine like terms: 12 + -12 = 0 0 + 5k = 12 + -12 + -12k 5k = 12 + -12 + -12k Combine like terms: 12 + -12 = 0 5k = 0 + -12k 5k = -12k Solving 5k = -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. 5k + 12k = -12k + 12k Combine like terms: 5k + 12k = 17k 17k = -12k + 12k Combine like terms: -12k + 12k = 0 17k = 0 Divide each side by '17'. k = 0 Simplifying k = 0
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