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Simplifying 15.4 + -9.1t = 2.4t + -19.1 Reorder the terms: 15.4 + -9.1t = -19.1 + 2.4t Solving 15.4 + -9.1t = -19.1 + 2.4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2.4t' to each side of the equation. 15.4 + -9.1t + -2.4t = -19.1 + 2.4t + -2.4t Combine like terms: -9.1t + -2.4t = -11.5t 15.4 + -11.5t = -19.1 + 2.4t + -2.4t Combine like terms: 2.4t + -2.4t = 0.0 15.4 + -11.5t = -19.1 + 0.0 15.4 + -11.5t = -19.1 Add '-15.4' to each side of the equation. 15.4 + -15.4 + -11.5t = -19.1 + -15.4 Combine like terms: 15.4 + -15.4 = 0.0 0.0 + -11.5t = -19.1 + -15.4 -11.5t = -19.1 + -15.4 Combine like terms: -19.1 + -15.4 = -34.5 -11.5t = -34.5 Divide each side by '-11.5'. t = 3 Simplifying t = 3
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