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Simplifying 8k + 5t + -12t + -20k = 0 Reorder the terms: 8k + -20k + 5t + -12t = 0 Combine like terms: 8k + -20k = -12k -12k + 5t + -12t = 0 Combine like terms: 5t + -12t = -7t -12k + -7t = 0 Solving -12k + -7t = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7t' to each side of the equation. -12k + -7t + 7t = 0 + 7t Combine like terms: -7t + 7t = 0 -12k + 0 = 0 + 7t -12k = 0 + 7t Remove the zero: -12k = 7t Divide each side by '-12'. k = -0.5833333333t Simplifying k = -0.5833333333t
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