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Simplifying 3.4 + -3.6t = -1.3t + -1(1.1t + -2) Reorder the terms: 3.4 + -3.6t = -1.3t + -1(-2 + 1.1t) 3.4 + -3.6t = -1.3t + (-2 * -1 + 1.1t * -1) 3.4 + -3.6t = -1.3t + (2 + -1.1t) Reorder the terms: 3.4 + -3.6t = 2 + -1.3t + -1.1t Combine like terms: -1.3t + -1.1t = -2.4t 3.4 + -3.6t = 2 + -2.4t Solving 3.4 + -3.6t = 2 + -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. 3.4 + -3.6t + 2.4t = 2 + -2.4t + 2.4t Combine like terms: -3.6t + 2.4t = -1.2t 3.4 + -1.2t = 2 + -2.4t + 2.4t Combine like terms: -2.4t + 2.4t = 0.0 3.4 + -1.2t = 2 + 0.0 3.4 + -1.2t = 2 Add '-3.4' to each side of the equation. 3.4 + -3.4 + -1.2t = 2 + -3.4 Combine like terms: 3.4 + -3.4 = 0.0 0.0 + -1.2t = 2 + -3.4 -1.2t = 2 + -3.4 Combine like terms: 2 + -3.4 = -1.4 -1.2t = -1.4 Divide each side by '-1.2'. t = 1.166666667 Simplifying t = 1.166666667
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