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Simplifying 12k + 20 = -2(8k + -10) Reorder the terms: 20 + 12k = -2(8k + -10) Reorder the terms: 20 + 12k = -2(-10 + 8k) 20 + 12k = (-10 * -2 + 8k * -2) 20 + 12k = (20 + -16k) Add '-20' to each side of the equation. 20 + -20 + 12k = 20 + -20 + -16k Combine like terms: 20 + -20 = 0 0 + 12k = 20 + -20 + -16k 12k = 20 + -20 + -16k Combine like terms: 20 + -20 = 0 12k = 0 + -16k 12k = -16k Solving 12k = -16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '16k' to each side of the equation. 12k + 16k = -16k + 16k Combine like terms: 12k + 16k = 28k 28k = -16k + 16k Combine like terms: -16k + 16k = 0 28k = 0 Divide each side by '28'. k = 0 Simplifying k = 0
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