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Simplifying 27 + 20k = -3k + -1(9k + -3) Reorder the terms: 27 + 20k = -3k + -1(-3 + 9k) 27 + 20k = -3k + (-3 * -1 + 9k * -1) 27 + 20k = -3k + (3 + -9k) Reorder the terms: 27 + 20k = 3 + -3k + -9k Combine like terms: -3k + -9k = -12k 27 + 20k = 3 + -12k Solving 27 + 20k = 3 + -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. 27 + 20k + 12k = 3 + -12k + 12k Combine like terms: 20k + 12k = 32k 27 + 32k = 3 + -12k + 12k Combine like terms: -12k + 12k = 0 27 + 32k = 3 + 0 27 + 32k = 3 Add '-27' to each side of the equation. 27 + -27 + 32k = 3 + -27 Combine like terms: 27 + -27 = 0 0 + 32k = 3 + -27 32k = 3 + -27 Combine like terms: 3 + -27 = -24 32k = -24 Divide each side by '32'. k = -0.75 Simplifying k = -0.75
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