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Simplifying 2.4t + 4.5 = 3.6t + -1.9 + -0.04t Reorder the terms: 4.5 + 2.4t = 3.6t + -1.9 + -0.04t Reorder the terms: 4.5 + 2.4t = -1.9 + 3.6t + -0.04t Combine like terms: 3.6t + -0.04t = 3.56t 4.5 + 2.4t = -1.9 + 3.56t Solving 4.5 + 2.4t = -1.9 + 3.56t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3.56t' to each side of the equation. 4.5 + 2.4t + -3.56t = -1.9 + 3.56t + -3.56t Combine like terms: 2.4t + -3.56t = -1.16t 4.5 + -1.16t = -1.9 + 3.56t + -3.56t Combine like terms: 3.56t + -3.56t = 0.00 4.5 + -1.16t = -1.9 + 0.00 4.5 + -1.16t = -1.9 Add '-4.5' to each side of the equation. 4.5 + -4.5 + -1.16t = -1.9 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -1.16t = -1.9 + -4.5 -1.16t = -1.9 + -4.5 Combine like terms: -1.9 + -4.5 = -6.4 -1.16t = -6.4 Divide each side by '-1.16'. t = 5.517241379 Simplifying t = 5.517241379
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