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Simplifying 14.06 + 12.4t = -0.82 + 2.28 + 11.5t Combine like terms: -0.82 + 2.28 = 1.46 14.06 + 12.4t = 1.46 + 11.5t Solving 14.06 + 12.4t = 1.46 + 11.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-11.5t' to each side of the equation. 14.06 + 12.4t + -11.5t = 1.46 + 11.5t + -11.5t Combine like terms: 12.4t + -11.5t = 0.9t 14.06 + 0.9t = 1.46 + 11.5t + -11.5t Combine like terms: 11.5t + -11.5t = 0.0 14.06 + 0.9t = 1.46 + 0.0 14.06 + 0.9t = 1.46 Add '-14.06' to each side of the equation. 14.06 + -14.06 + 0.9t = 1.46 + -14.06 Combine like terms: 14.06 + -14.06 = 0.00 0.00 + 0.9t = 1.46 + -14.06 0.9t = 1.46 + -14.06 Combine like terms: 1.46 + -14.06 = -12.6 0.9t = -12.6 Divide each side by '0.9'. t = -14 Simplifying t = -14
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