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Simplifying 19.5 + 0.5t = 10.6206 + -0.4t Solving 19.5 + 0.5t = 10.6206 + -0.4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.4t' to each side of the equation. 19.5 + 0.5t + 0.4t = 10.6206 + -0.4t + 0.4t Combine like terms: 0.5t + 0.4t = 0.9t 19.5 + 0.9t = 10.6206 + -0.4t + 0.4t Combine like terms: -0.4t + 0.4t = 0.0 19.5 + 0.9t = 10.6206 + 0.0 19.5 + 0.9t = 10.6206 Add '-19.5' to each side of the equation. 19.5 + -19.5 + 0.9t = 10.6206 + -19.5 Combine like terms: 19.5 + -19.5 = 0.0 0.0 + 0.9t = 10.6206 + -19.5 0.9t = 10.6206 + -19.5 Combine like terms: 10.6206 + -19.5 = -8.8794 0.9t = -8.8794 Divide each side by '0.9'. t = -9.866 Simplifying t = -9.866
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